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Nonlinear Evolution Equations and Their Solutions

This special issue belongs to the section “C1: Difference and Differential Equations“.

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 250 words) can be sent to the Editorial Office for assessment.

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

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Mathematics - ISSN 2227-7390