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Symmetry
Special Issues
Symmetry and Asymmetry Applied in Nonlinear Analysis
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Symmetry and Asymmetry Applied in Nonlinear Analysis

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (31 May 2022) | Viewed by 1764

Special Issue Editors

Prof. Dr. Yang Cao

E-Mail Website
Guest Editor
School of Mathematical Sciences, Dalian University of Technologydisabled, Dalian, China
Interests: applied mathematics
Dr. Chengyuan Qu

E-Mail Website
Guest Editor
School of Science, Dalian Minzu University, Dalian, China
Interests: applied mathematics
Prof. Dr. Yuanyuan Nie

E-Mail Website
Guest Editor
Department of Applied Mathematics, Jilin Unversity, Jilin, China
Interests: applied mathematics
Prof. Dr. Hongjie Ju

E-Mail Website
Guest Editor
Department of Mathematics, Beijing University of Posts and Telecommunications, Beijing, China
Interests: applied mathematics

Special Issue Information

Dear Colleagues,

Nonlinear diffusion equations have been of considerable interest in the study of a variety of diffusion phenomena appeared widely in nature. As an important class of parabolic equations, they are suggested as mathematical models of physical problems in many fields, such as filtration, phase transition, biochemistry, and dynamics of biological groups. Today, research on nonlinear diffusion equations is extensive and in-depth. This Special Issue is devoted to recent investigations of nonlinear diffusion equations. Topics of interest include but are not limited to the following: nonlinear partial differential equation from physics and biology; well-posedness of the model; asymptotic behavior of solutions; blow-up phenomena. Please note that all submitted papers must be within the general scope of the Symmetry journal.

Prof. Dr. Yang Cao
Dr. Chengyuan Qu
Prof. Dr. Yuanyuan Nie
Prof. Dr. Hongjie Ju
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • nonlinear mathematical and physical models
  • nonlinear parabolic equation
  • well-posedness
  • asymptotic behavior
  • blow-up
  • symmetry analysis

Published Papers (1 paper)

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Research

16 pages, 921 KiB  
Article
A Comparative Study of the Fractional Coupled Burgers and Hirota–Satsuma KdV Equations via Analytical Techniques
by Humaira Yasmin and Naveed Iqbal
Symmetry 2022, 14(7), 1364; https://doi.org/10.3390/sym14071364 - 02 Jul 2022
Cited by 15 | Viewed by 1485
Abstract
This paper applies modified analytical methods to the fractional-order analysis of one and two-dimensional nonlinear systems of coupled Burgers and Hirota–Satsuma KdV equations. The Atangana–Baleanu fractional derivative operator and the Elzaki transform will be used to solve the proposed problems. The results of [...] Read more.
This paper applies modified analytical methods to the fractional-order analysis of one and two-dimensional nonlinear systems of coupled Burgers and Hirota–Satsuma KdV equations. The Atangana–Baleanu fractional derivative operator and the Elzaki transform will be used to solve the proposed problems. The results of utilizing the proposed techniques are compared to the exact solution. The technique’s convergence is successfully presented and mathematically proven. To demonstrate the efficacy of the suggested techniques, we compared actual and analytic solutions using figures, which are in strong agreement with one another. Furthermore, the solutions achieved by applying the current techniques at different fractional orders are compared to the integer order. The proposed methods are appealing, simple, and accurate, indicating that they are appropriate for solving partial differential equations or systems of partial differential equations. Full article
(This article belongs to the Special Issue Symmetry and Asymmetry Applied in Nonlinear Analysis)
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