Mathematical Physics and Integrable Systems
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 20 November 2025 | Viewed by 26
Special Issue Editors
Interests: mathematical physics; integrable systems; conformal field theory; nonlinear partial differential equations and their applications
Special Issue Information
Dear Colleagues,
This Special Issue, titled "Mathematical Physics and Integrable Systems", will be published in the journal Axioms. The study of mathematical physics and integrable systems, such as solitons, Hamiltonian structure, symmetries, gauge theory, neural networks, and applications on differential equations, is crucial in the field of integrable systems. Tau functions play a significant and intriguing role in these systems. Notably, the Kadomtsev–Petviashvili (KP) equation, a fundamental integrable system in mathematical physics, has attracted increasing attention in shallow water and internal waves. Toda equations also play an important role in the theory of integrable systems.
We invite authors to submit their papers to our Special Issue.
Prof. Dr. Chuanzhong Li
Dr. Haifeng Wang
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. Axioms 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
- soliton
- integrable equation
- PINN
- symmetry
- NLS equation
- KP equation
- vertex operators
- Toda equation
- Hamiltonian structure
- rogue wave
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