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Keywords = multiwave exploration

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14 pages, 716 KiB  
Article
How Do Career Expectations Affect the Social Withdrawal Behavior of Graduates Not in Employment, Education, or Training (NEETs)? The Chain Mediating Role of Human Capital and Problem-Solving Ability
by Ke Xu, Dandan Zhang and Minghui Wang
Behav. Sci. 2025, 15(4), 506; https://doi.org/10.3390/bs15040506 - 10 Apr 2025
Cited by 1 | Viewed by 651
Abstract
In recent years, some college graduates in China have chosen to postpone or avoid employment due to the disparity between their career expectations and the reality of the job market, leading to the emergence of a group of graduates not in employment, education, [...] Read more.
In recent years, some college graduates in China have chosen to postpone or avoid employment due to the disparity between their career expectations and the reality of the job market, leading to the emergence of a group of graduates not in employment, education, or training (NEETs). As the number of individuals in this group continues to grow, exploring effective strategies to mitigate such behavior has become increasingly important. Based on self-determination theory, this study conducted an empirical analysis using a multi-wave questionnaire survey with a sample of 226 graduate NEETs in Shanghai, China. The findings indicate that (1) career expectations do not directly reduce social withdrawal behavior; (2) the mere accumulation of human capital is insufficient to decrease social withdrawal—only when knowledge and skills are further transformed into problem-solving ability does an individual’s tendency toward social withdrawal significantly decline; and (3) human capital and problem-solving ability serve as a sequential mediating mechanism between career expectations and social withdrawal behavior. This study expands the research on the formation mechanisms of social withdrawal behavior and elucidates the proactive adaptation pathways in individuals’ career adjustment processes. The findings provide theoretical insights for higher education institutions to shift from traditional knowledge transmission models toward a greater emphasis on problem-solving ability development. Full article
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26 pages, 491 KiB  
Article
Corporate Social Responsibility Motive Attributions and Green Behaviors: Moderating Effect of Green Intrinsic Motivation
by Changqin Yin, Jie Tan and Yi Deng
Sustainability 2025, 17(4), 1651; https://doi.org/10.3390/su17041651 - 17 Feb 2025
Viewed by 1001
Abstract
Employee green behavior plays an important role in the realization of corporate social responsibility (CSR) goals, and the employee motive attribution of CSR can affect employee green behavior. Therefore, it is important to understand how CSR motive attribution affects their green behavior. However, [...] Read more.
Employee green behavior plays an important role in the realization of corporate social responsibility (CSR) goals, and the employee motive attribution of CSR can affect employee green behavior. Therefore, it is important to understand how CSR motive attribution affects their green behavior. However, existing studies rarely establish a direct link between CSR motive attribution and green behavior. Based on the attribution theory, we establish a framework to explore the impact of CSR motive attributions on employees’ green behaviors. To examine our theoretical model and research hypotheses, we conducted an experimental study (Study 1) and a multi-wave survey study (Study 2). The combined results show that (substantive and symbolic) CSR motive attributions positively influence in-role green behavior; however, for extra-role green behavior, substantive CSR motive attribution positively influences it, while symbolic CSR motive attribution negatively influences it. Green intrinsic motivation positively moderates the relationship between CSR motive attributions and in-role green behavior and positively moderates the relationship between substantive CSR motive attribution and extra-role green behavior but negatively moderates the relationship between symbolic CSR motive attribution and extra-role green behavior. This research contributes to the literature related to micro-CSR and provides explanations for the favorable and unfavorable environmental results brought on by substantive and symbolic CSR, respectively. Full article
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14 pages, 1145 KiB  
Article
Superposition and Interaction Dynamics of Complexitons, Breathers, and Rogue Waves in a Landau–Ginzburg–Higgs Model for Drift Cyclotron Waves in Superconductors
by Hicham Saber, Muntasir Suhail, Amer Alsulami, Khaled Aldwoah, Alaa Mustafa and Mohammed Hassan
Axioms 2024, 13(11), 763; https://doi.org/10.3390/axioms13110763 - 4 Nov 2024
Cited by 3 | Viewed by 1061
Abstract
This article implements the Hirota bilinear (HB) transformation technique to the Landau–Ginzburg–Higgs (LGH) model to explore the nonlinear evolution behavior of the equation, which describes drift cyclotron waves in superconductivity. Utilizing the Cole–Hopf transform, the HB equation is derived, and symbolic manipulation combined [...] Read more.
This article implements the Hirota bilinear (HB) transformation technique to the Landau–Ginzburg–Higgs (LGH) model to explore the nonlinear evolution behavior of the equation, which describes drift cyclotron waves in superconductivity. Utilizing the Cole–Hopf transform, the HB equation is derived, and symbolic manipulation combined with various auxiliary functions (AFs) are employed to uncover a diverse set of analytical solutions. The study reveals novel results, including multi-wave complexitons, breather waves, rogue waves, periodic lump solutions, and their interaction phenomena. Additionally, a range of traveling wave solutions, such as dark, bright, periodic waves, and kink soliton solutions, are developed using an efficient expansion technique. The nonlinear dynamics of these solutions are illustrated through 3D and contour maps, accompanied by detailed explanations of their physical characteristics. Full article
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13 pages, 617 KiB  
Article
Fairness in E-Recruitment: Examining Procedural Justice Perceptions and Job Seekers’ Intentions
by Elena Lo Piccolo, Gerardo Petruzziello, Rita Chiesa, Luca Pietrantoni and Marco Giovanni Mariani
Sustainability 2024, 16(18), 8124; https://doi.org/10.3390/su16188124 - 18 Sep 2024
Cited by 1 | Viewed by 3157
Abstract
Corporate websites are crucial in recruitment, as the prospective applicants’ experiences in digital recruitment may influence their intentions. Therefore, understanding how opportunity-to-perform perceptions (OPP) integral to procedural justice experienced by potential applicants while visiting a corporate recruitment website impact their reactions towards the [...] Read more.
Corporate websites are crucial in recruitment, as the prospective applicants’ experiences in digital recruitment may influence their intentions. Therefore, understanding how opportunity-to-perform perceptions (OPP) integral to procedural justice experienced by potential applicants while visiting a corporate recruitment website impact their reactions towards the company can be key. This study aims to elucidate the influence of OPP on applicants’ intentions to apply (ITA) via corporate websites. Specifically, it explores the indirect relationship between OPP during recruitment and ITA one month after visiting a company website, mediated by organizational attractiveness and ITA measured immediately after and one week after the website visit. This multi-wave study collected 260 cases from master’s students in psychology who completed a questionnaire across waves. Hypotheses were tested using the PROCESS macro in SPSS. The findings highlighted a serial mediation pathway, wherein the indirect connection between OPP and ITA after one month was mediated through organizational attractiveness, ITA immediately after, and one week after website visits. The results highlight the importance of enhancing procedural justice corporate websites to influence applicants’ perceptions and intentions positively and improve recruitment outcomes. Future research should explore the effect of long-term justice perceptions as a basis for a sustainable employee–employer relationship. Full article
(This article belongs to the Section Psychology of Sustainability and Sustainable Development)
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21 pages, 8600 KiB  
Review
Progress of Experimental Studies on Oblique Detonation Waves Induced by Hyper-Velocity Projectiles
by Jiahao Shang, Guotun Hu, Qiu Wang, Gaoxiang Xiang and Wei Zhao
Aerospace 2024, 11(9), 715; https://doi.org/10.3390/aerospace11090715 - 2 Sep 2024
Cited by 2 | Viewed by 2388
Abstract
Oblique detonation waves (ODWs) are hypersonic combustion phenomena induced by oblique shock waves. When applied to air-breathing engines, ODWs offer high thermal cycle efficiency, adaptability to a wide range of flight Mach numbers, and the advantage of a short combustion chamber, making them [...] Read more.
Oblique detonation waves (ODWs) are hypersonic combustion phenomena induced by oblique shock waves. When applied to air-breathing engines, ODWs offer high thermal cycle efficiency, adaptability to a wide range of flight Mach numbers, and the advantage of a short combustion chamber, making them highly promising for hypersonic propulsion applications. Despite numerous numerical studies on the heat release and multi-wave flow mechanisms of ODWs, practical applications of oblique detonation engines (ODEs) remain limited due to several technical challenges. These challenges include generating the required high-velocity test environments, achieving effective fuel and oxidant mixing, and measuring the flow field structure in hyper-velocity and high-temperature flows. These limitations hinder the development of ODEs, underscoring the importance of experimental research, particularly for understanding the initiation and propagation mechanisms of ODWs. One of the primary experimental techniques involves inducing oblique detonation using high-velocity models. This method is extensively used to study the initiation process, shock structure, initiation criteria, and ODW propagation. It is advantageous because the state of the experimental mixture is controllable, and the model state can be precisely measured. This paper reviews studies on oblique detonation induced by hyper-velocity projectiles, presenting advances in experimental methods, detonation wave structures, unsteady processes, and initiation characteristics. Additionally, we discuss the deficiencies in existing studies, noting that the current measurement methods fall short of the requirements for observing the ODW initiation process, propagation process, and fine structure. The application of advanced combustion diagnostic techniques and the exploration of the relationship between initiation processes and criteria are crucial for advancing our understanding of ODW initiation and stabilization mechanisms. Finally, we summarize the current state of experimental facilities and measurement techniques, providing suggestions for future research on the measurement of shock waves and chemical reaction zones. Full article
(This article belongs to the Special Issue Advances in Detonative Propulsion)
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26 pages, 15223 KiB  
Article
Construction of Soliton Solutions of Time-Fractional Caudrey–Dodd–Gibbon–Sawada–Kotera Equation with Painlevé Analysis in Plasma Physics
by Khadija Shakeel, Alina Alb Lupas, Muhammad Abbas, Pshtiwan Othman Mohammed, Farah Aini Abdullah and Mohamed Abdelwahed
Symmetry 2024, 16(7), 824; https://doi.org/10.3390/sym16070824 - 1 Jul 2024
Cited by 1 | Viewed by 1778
Abstract
Fractional calculus with symmetric kernels is a fast-growing field of mathematics with many applications in all branches of science and engineering, notably electromagnetic, biology, optics, viscoelasticity, fluid mechanics, electrochemistry, and signals processing. With the use of the Sardar sub-equation and the Bernoulli sub-ODE [...] Read more.
Fractional calculus with symmetric kernels is a fast-growing field of mathematics with many applications in all branches of science and engineering, notably electromagnetic, biology, optics, viscoelasticity, fluid mechanics, electrochemistry, and signals processing. With the use of the Sardar sub-equation and the Bernoulli sub-ODE methods, new trigonometric and hyperbolic solutions to the time-fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation have been constructed in this paper. Notably, the definition of our fractional derivative is based on the Jumarie’s modified Riemann–Liouville derivative, which offers a strong basis for our mathematical explorations. This equation is widely utilized to report a variety of fascinating physical events in the domains of classical mechanics, plasma physics, fluid dynamics, heat transfer, and acoustics. It is presumed that the acquired outcomes have not been documented in earlier research. Numerous standard wave profiles, such as kink, smooth bell-shaped and anti-bell-shaped soliton, W-shaped, M-shaped, multi-wave, periodic, bright singular and dark singular soliton, and combined dark and bright soliton, are illustrated in order to thoroughly analyze the wave nature of the solutions. Painlevé analysis of the proposed study is also part of this work. To illustrate how the fractional derivative affects the precise solutions of the equation via 2D and 3D plots. Full article
(This article belongs to the Special Issue Application of Symmetry in Equations)
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18 pages, 3022 KiB  
Article
Improvement and Application of Hale’s Dynamic Time Warping Algorithm
by Hairong Wang and Qiufang Zheng
Symmetry 2024, 16(6), 645; https://doi.org/10.3390/sym16060645 - 23 May 2024
Viewed by 1226
Abstract
Due to the different generation and propagation mechanisms of P- and S-waves, there may be significant differences in the seismic data collected by the two, which poses a great obstacle to the time domain matching of P- and S-waves in multiwave exploration. Furthermore, [...] Read more.
Due to the different generation and propagation mechanisms of P- and S-waves, there may be significant differences in the seismic data collected by the two, which poses a great obstacle to the time domain matching of P- and S-waves in multiwave exploration. Furthermore, the quality and accuracy of the matching effect will directly affect the subsequent multiwave joint inversion and interpretation effect. Therefore, the study of P and S-wave-matching methods plays a crucial role in seismic exploration. In 2013, Hale improved the classical Dynamic Time Warping (DTW) algorithm applied to solve the problem of speech recognition, and obtained the DTW algorithm suitable for solving the matching of P-waves and S-waves. The seismic wave-matching results generated by this algorithm are horizontal discontinuous (different trajectories) and need further processing. This study analyses the algorithm based on simulations of seismic waves using Ricker wavelets. In response to existing problems, this paper proposes strategies to improve the DTW algorithm. The algorithm in this study significantly improved the continuity of the registration results of the actual seismic wave data in the horizontal direction (different traces). Full article
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22 pages, 8549 KiB  
Article
An Application of 3D Cross-Well Elastic Reverse Time Migration Imaging Based on the Multi-Wave and Multi-Component Technique in Coastal Engineering Exploration
by Daicheng Peng, Fei Cheng, Hao Xu and Yuquan Zong
J. Mar. Sci. Eng. 2024, 12(3), 522; https://doi.org/10.3390/jmse12030522 - 21 Mar 2024
Cited by 1 | Viewed by 1726
Abstract
Precise surveys are indispensable in coastal engineering projects. The extensive presence of sand in the coastal area leads to significant attenuation of seismic waves within unsaturated loose sediments. As a result, it becomes challenging for seismic waves to penetrate the weathered zone and [...] Read more.
Precise surveys are indispensable in coastal engineering projects. The extensive presence of sand in the coastal area leads to significant attenuation of seismic waves within unsaturated loose sediments. As a result, it becomes challenging for seismic waves to penetrate the weathered zone and reach the desired depth with significant amount of energy. In this study, the application of three-dimensional (3D) cross-well elastic reverse time migration (RTM) imaging based on multi-wave and multi-component techniques in coastal engineering exploration is explored. Accurate decomposition of vector compressional (P) and shear (S) waves is achieved through two wavefield decoupling algorithms without any amplitude and phase distortion. Additionally, compressional wave pressure components are obtained, which facilitates subsequent independent imaging. This study discusses and analyzes the imaging results of four imaging strategies under cross-correlation imaging conditions in RTM imaging. The analysis leads to the conclusion that scalarizing vector wavefields imaging yields superior imaging of P- and S-waves. Furthermore, the imaging results obtained through this approach are of great physical significance. In order to validate the efficacy of this method in 3D geological structure imaging in coastal areas, RTM imaging experiments were performed on two representative models. The results indicate that the proposed 3D elastic wave imaging method effectively generates accurate 3D cross-well imaging of P- and S-waves. This method utilizes the multi-wave and multi-component elastic wave RTM imaging technique to effectively leverage the Earth’s elastic medium without increasing costs. It provides valuable information about the distribution of subsurface rock layers, interfaces, and other structures in coastal engineering projects. Importantly, this can be achieved without resorting to extensive excavation or drilling operations. This method addresses the limitations of current cross-well imaging techniques, thereby providing abundant and accurate geological and geophysical information for the analysis and interpretation of 3D geological structures in coastal engineering projects. It has important theoretical and practical significance in real-world production, as well as for the study of geological structures in coastal engineering. Full article
(This article belongs to the Special Issue Engineering Properties of Marine Soils and Offshore Foundations)
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22 pages, 1027 KiB  
Article
The Impact of Enterprise Digital Capability on Employee Sustainable Performance: From the Perspective of Employee Learning
by Feiqiang Fu, Wenhui Zha and Qiwei Zhou
Sustainability 2023, 15(17), 12897; https://doi.org/10.3390/su151712897 - 25 Aug 2023
Cited by 9 | Viewed by 4316
Abstract
Background: Enterprises’ digital transformation is an important issue in the digital era. Exploring how digital transformation can be implemented successfully within enterprises is of considerable theoretical and practical significance. From the perspective of employee learning, this study focuses on employees and aims to [...] Read more.
Background: Enterprises’ digital transformation is an important issue in the digital era. Exploring how digital transformation can be implemented successfully within enterprises is of considerable theoretical and practical significance. From the perspective of employee learning, this study focuses on employees and aims to establish the theoretical linkage between employees’ perception of enterprise digital capability and their sustainable performance. Methods: A survey using the random sampling technique was adopted to collect data from a large professional data platform. A multi-wave survey featuring 433 full-time Chinese employees was conducted using path analyses to test the hypotheses. Results: The results of the path analyses showed that: (1) employee learning and unlearning mediate the relationship between employees’ perception of an enterprise’s digital capability and their sustainable performance; (2) communication feedback strengthens the positive effects of perceived enterprise digital capability on learning, as well as on unlearning; and (3) the integrated moderated mediation model is valid. Conclusion: This paper proves that during enterprises’ digital transformation, employees’ perception of the enterprise’s digital capability promotes employee sustainable performance via both learning and unlearning. Communication feedback strengthens the above relationships. Therefore, this study contributes to the literature on digital transformation and highlights employee-learning-related organizational management issues, shedding light on the practice of enterprise digital transformation. Full article
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14 pages, 603 KiB  
Article
Employee Strengths Mindset and Voice Behavior: The Roles of General Self-Efficacy and Leader–Member Exchange
by Feng Liu, Jun Liu and He Ding
Sustainability 2023, 15(15), 11706; https://doi.org/10.3390/su151511706 - 28 Jul 2023
Cited by 6 | Viewed by 2407
Abstract
The current paper aimed to explore the linkage between employee strengths mindset and voice behavior, and considered the mediating roles of general self-efficacy and leader–member exchange (LMX) in the relationship. We collected data from 556 participants from various Chinese organizations with a multi-wave [...] Read more.
The current paper aimed to explore the linkage between employee strengths mindset and voice behavior, and considered the mediating roles of general self-efficacy and leader–member exchange (LMX) in the relationship. We collected data from 556 participants from various Chinese organizations with a multi-wave design. The results of structural equation modelling analysis showed that employee strengths mindset has a positive association with voice behavior, and employee general self-efficacy and LMX, respectively, mediate the relationship between strengths mindset and voice behavior. More importantly, employee general self-efficacy and LMX also simultaneously mediate the relationship between strengths mindset and voice behavior. The current study is the first to investigate the employee strengths mindset–voice behavior linkage, and reveals the cognitive and relational mechanisms underlying the strengths mindset and voice behavior relationship. Full article
(This article belongs to the Special Issue Extra-Role Behaviors for Sustainable Organization Management)
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16 pages, 293 KiB  
Article
An Investigation of Helicopter Parenting and Interpersonal Conflict in a Competitive College Climate
by Ting Nie, Mingyang Cai and Yan Chen
Healthcare 2023, 11(10), 1484; https://doi.org/10.3390/healthcare11101484 - 19 May 2023
Cited by 5 | Viewed by 5941
Abstract
With declining birth rates, and decreasing family sizes being witnessed around the world, helicopter parenting—characterized by high warmth, high control, and low empowerment—is becoming increasingly common among parents. Parenting styles exert long-term effects on individuals’ cognition and behavior, not only in early childhood, [...] Read more.
With declining birth rates, and decreasing family sizes being witnessed around the world, helicopter parenting—characterized by high warmth, high control, and low empowerment—is becoming increasingly common among parents. Parenting styles exert long-term effects on individuals’ cognition and behavior, not only in early childhood, but also in adulthood: therefore, within this context, this study explored the underlying influence mechanism of helicopter parenting style on interpersonal conflict, through a survey of 505 Chinese college students. Using multiwave data, our analysis uncovered the mediating roles of psychological entitlement and fear of missing out, as well as the moderating role of a competitive climate. In particular, we found that helicopter parenting enhances interpersonal conflict among college students, by strengthening psychological entitlement and fear of missing out. In addition, the indirect effect of fear of missing out is stronger than that of psychological entitlement. We also found that a competitive climate positively moderates the indirect effect of helicopter parenting on interpersonal conflict among college students through psychological entitlement and fear of missing out, indicating that the negative effects of helicopter parenting are more pronounced in a high competitive climate. These results provide a novel theoretical account of how early parenting styles affect an adult’s cognition and behavior. Practically, these results suggest that parents should limit the use of helicopter parenting, and that, while loving and caring for their child, they should allow their child appropriate autonomy. On the other hand, children should strive for positive self-improvement and harmonious peer relationships, to alleviate the negative influence of helicopter parenting. Full article
13 pages, 3945 KiB  
Article
Effects of Ozone Addition on Multi-Wave Modes of Hydrogen–Air Rotating Detonations
by Yang Wang, Cheng Tian and Pengfei Yang
Aerospace 2023, 10(5), 443; https://doi.org/10.3390/aerospace10050443 - 11 May 2023
Cited by 4 | Viewed by 2442
Abstract
Ozone addition presents a promising approach for optimizing and regulating both combustion and ignition mechanisms. In Rotating Detonation Engines (RDEs), investigating the impact of ozone addition is particularly important due to the fact of their unique operating conditions and potential for improved efficiency. [...] Read more.
Ozone addition presents a promising approach for optimizing and regulating both combustion and ignition mechanisms. In Rotating Detonation Engines (RDEs), investigating the impact of ozone addition is particularly important due to the fact of their unique operating conditions and potential for improved efficiency. This study explores the influence of ozone concentration, total temperature, and equivalent ratio on the combustion characteristics of a hydrogen–air mixture infused with ozone. Utilizing the mixture as a propellant, the combustion chamber of a continuous rotating detonation engine is replicated through an array of injection ports, with numerical simulations conducted to analyze the detonation wave combustion mode. Our results show that an increase in total temperature leads to an increase in the number of detonation waves. Incorporating a minor quantity of ozone can facilitate the ignition process for the detonation wave. Increasing the ozone content can result in the conversion from a single-wave to dual-wave or multi-wave mode, providing a more stable combustion interface. A low ozone concentration acts as an auxiliary ignition agent and can significantly shorten the induction time. As the total temperature increases, the detonation propagation velocity and the peak heat release rate both decrease concurrently, which leads to a decline in the exit total pressure and an augmentation in the specific impulse. Employing ozone exerts a minimal impact on the detonation propagation and the overall propulsion performance. The requirement for ozone-assisted initiation differs noticeably between rich and lean combustion. Full article
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9 pages, 2409 KiB  
Article
Dynamical Structures of Multi-Solitons and Interaction of Solitons to the Higher-Order KdV-5 Equation
by Fahad Sameer Alshammari, Zillur Rahman, Harun-Or Roshid, Mohammad Safi Ullah, Abdullah Aldurayhim and M. Zulfikar Ali
Symmetry 2023, 15(3), 626; https://doi.org/10.3390/sym15030626 - 2 Mar 2023
Cited by 8 | Viewed by 1888
Abstract
In this study, we build multi-wave solutions of the KdV-5 model through Hirota’s bilinear method. Taking complex conjugate values of the free parameters, various colliding exact solutions in the form of rogue wave, symmetric bell soliton and rogue waves form; breather waves, the [...] Read more.
In this study, we build multi-wave solutions of the KdV-5 model through Hirota’s bilinear method. Taking complex conjugate values of the free parameters, various colliding exact solutions in the form of rogue wave, symmetric bell soliton and rogue waves form; breather waves, the interaction of a bell and rogue wave, and two colliding rogue wave solutions are constructed. To explore the characteristics of the breather waves, localized in any direction, the higher-order KdV-5 model, which describes the promulgation of weakly nonlinear elongated waves in a narrow channel, and ion-acoustic, and acoustic emission in harmonic crystals symmetrically is analyzed. With the appropriate parameters that affect and manage phase shifts, transmission routes, as well as energies of waves, a mixed solution relating to hyperbolic and sinusoidal expression are derived and illustrated by figures. All the single and multi-soliton appeared symmetric about an axis of the wave propagation. The analyzed outcomes are functional in achieving an understanding of the nonlinear situations in the mentioned fields. Full article
(This article belongs to the Section Physics)
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16 pages, 4492 KiB  
Article
Stability Analysis of the Rational Solutions, Periodic Cross-Rational Solutions, Rational Kink Cross-Solutions, and Homoclinic Breather Solutions to the KdV Dynamical Equation with Constant Coefficients and Their Applications
by Aly R. Seadawy, Syed T. R. Rizvi and Hanadi Zahed
Mathematics 2023, 11(5), 1074; https://doi.org/10.3390/math11051074 - 21 Feb 2023
Cited by 11 | Viewed by 1738
Abstract
We explore various analytical rational solutions with symbolic computation using the ansatz transformation functions. We gain a variety of rational solutions such as M-shaped rational solutions (MSRs), periodic cross-rationals (PCRs), multi-wave solutions, rational kink cross-solutions (RKCs), and homoclinic breather solutions (HBs), and [...] Read more.
We explore various analytical rational solutions with symbolic computation using the ansatz transformation functions. We gain a variety of rational solutions such as M-shaped rational solutions (MSRs), periodic cross-rationals (PCRs), multi-wave solutions, rational kink cross-solutions (RKCs), and homoclinic breather solutions (HBs), and by using the appropriate values for the relevant parameters, their dynamics are visualized in figures. Additionally, two different types of interactions between MSRs and kink waves are analyzed. Furthermore, we examine the stability of the obtained solutions and create a corresponding table. We analyze the stability of these solutions and the movement role of the wave by making graphs as two-dimensional, three-dimensional and density graphs as well as contour visual and stream plots. Full article
(This article belongs to the Special Issue Applied Mathematics and Continuum Mechanics)
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17 pages, 4916 KiB  
Article
Seismic Wave Finite-Difference Forward Modeling for Orogenic Gold Deposits
by Yao Pang, Lijun Yan, Yuan Liu, Lin Tang, Rui Zhu and Guofeng Liu
Minerals 2022, 12(11), 1465; https://doi.org/10.3390/min12111465 - 19 Nov 2022
Cited by 2 | Viewed by 2880
Abstract
The demand for deep prospecting has led to an increase in the enthusiasm for seismic techniques in mineral exploration. Reflection seismology applications in the base metal industry have achieved success. For orogenic gold deposits, however, their applicable conditions remain to be investigated. This [...] Read more.
The demand for deep prospecting has led to an increase in the enthusiasm for seismic techniques in mineral exploration. Reflection seismology applications in the base metal industry have achieved success. For orogenic gold deposits, however, their applicable conditions remain to be investigated. This paper simulated seismic wave propagation based on a finite-difference algorithm with an accuracy of eighth order in space and second order in time to investigate the factors influencing the reflection seismic exploration results. Then, the paper assessed the algorithm’s feasibility for orogenic gold deposits, taking the giant Zaozigou deposit in central China as an example. The forward modeling showed that the petrophysical properties, dimensions, and dip of targets significantly affected the seismic exploration results. In the Zaozigou model, shallowly dipping orebodies were well imaged with precise extension and thickness. Steeply dipping orebodies were recognized but their thickness information was lost. Steeply dipping orebodies at depth were not detectable under a surface configuration. These problems could be effectively solved by increasing the array length and using vertical seismic profiling methods. For small orebodies, multiwave and multicomponent seismic techniques offered more valuable information in terms of mineral exploration. In conclusion, it was possible to locate orogenic gold deposits using the reflection seismology method. Full article
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