Nonlinear Evolution Equations and Their Solutions
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: 31 July 2026 | Viewed by 270
Special Issue Editors
Interests: stability theory; evolution equations; control theory; dynamical systems; nonlinear analysis; applied mathematics
Interests: computational and applied mathematics; numerical analysis; scientific computing; numerical solutions of partial differential equations; uncertainty quantification; fractional calculus; fractional/nonlocal differential equations; deep neural networks; high-dimensional computation
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Nonlinear evolution equations play a central role in modeling a wide range of phenomena in science and engineering, from fluid dynamics and quantum mechanics to population dynamics and material science. These equations, often characterized by their complex, non-linear behavior, present significant challenges in both theory and computation.
This Special Issue seeks to explore the latest advances in the study of nonlinear evolution equations, focusing on novel mathematical techniques for analyzing and solving these equations.
Contributions highlighting new analytical methods and/or numerical approaches and qualitative studies that provide deeper insight into the existence, uniqueness, and stability of solutions are welcome. Additionally, this Issue will focus on applications of nonlinear evolution equations in real-world systems, such as wave propagation, nonlinear optics, and reaction-diffusion processes.
By fostering the exchange of ideas across different disciplines, this Issue aims to highlight the interdisciplinary nature of nonlinear evolution equations and their importance in solving complex, real-world problems.
It serves as a platform for researchers to present innovative approaches and share emerging trends in the field, contributing to the ongoing development of both theoretical and applied nonlinear dynamics.
Prof. Dr. Codruta Simona Stoica
Prof. Dr. Xiaobing Feng
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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 evolution equations
- nonlinear dynamical systems
- applied mathematics
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
