Nonlinear Waves: Theory and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E4: Mathematical Physics".
Deadline for manuscript submissions: 30 June 2026 | Viewed by 14
Special Issue Editor
Special Issue Information
Dear Colleagues,
Theoretical and applied aspects of nonlinear waves are relevant to subjects as diverse as relativity, plasma physics, materials science, nonlinear optics, random media, solid and fluid mechanics, atmospheric and oceanic dynamics, and biological sciences. Breakthroughs in nonlinear wave research open avenues for collaboration and interactions that transcend traditional disciplinary boundaries in many of these fields.
This Special Issue aims to explore interdisciplinary problems involving nonlinear wave motion through analytical, numerical, and experimental methods. Well-known techniques include the multi-scale method, inverse scattering transform, WKB approach, fourth-order Runge–Kutta method, pseudospectral method, and others.
Contributions are expected to cover a broad range of nonlinear wave topics, including soliton dynamics, integrable and nearly integrable systems, nonlinear waves in applied sciences, asymptotic approaches to nonlinear wave problems, modulation theory.
Dr. Xudan Luo
Guest Editor
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
- integrable and nearly integrable systems
- solitary waves
- internal waves
- gravity waves
- dispersive shock waves
- hydrodynamics
- modulation theory
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.
