Advances in Nonlinear Differential Equations with Applications

Dear Colleagues,

Nonlinear differential equations show important and strong abilities to govern enormous physical, biological, and engineering practical problems. Abundant solutions and the related localized structures of nonlinear differential equations play important roles in many applied sciences, including condensed matter physics, nonlinear optics, biology physics, hydrodynamics, and other fields. Therefore, the continued development of more advanced, effective methods to solve nonlinear differential equations is of paramount importance.

This Special Issue, entitled “Advances in Nonlinear Differential Equations with Applications”, aims to reflect the current state-of-the-art developments in all topics relevant to nonlinear differential equations and their applications in various applied sciences. We encourage all researchers working in areas of knowledge related to nonlinear differential equations to submit the details of their research. We hope this Special Issue will provide a comprehensive background for engineers, researchers, and experts in the field. The topics to be considered in this Special Issue include, but are not limited to, the following:

• Nonlinear differential equations and their fractional forms in physics, optical engineering, and biology;
• Nonlinear difference-differential equations in physics, optical engineering, and biology;
• Abundant solutions and the related localized structures of nonlinear differential equations;
• Data-driven solutions to nonlinear differential equations via deep learning;
• New methods to solve nonlinear differential equations;
•  Symmetry of differential equations and its application;
• Nonlinear differential equations and their solutions in other applied sciences.

Prof. Dr. Chao-Qing Dai
Prof. Dr. Wen-Jun Liu
Prof. Dr. Nikolay A. Kudryashov
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. Fractal and Fractional 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 2700 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.