Symmetries of Integrable Systems, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 31 January 2025 | Viewed by 51

Special Issue Editor


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Guest Editor
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Interests: mathematical physics; algebra nonlinear systems; differential equations
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Special Issue Information

Dear Colleagues,

This Special Issue builds on the previous edition of "Symmetries of Integrable Systems" in the MDPI journal Mathematics. The study of symmetries of integrable systems, such as Virasoro symmetries, is crucial in the field of integrable systems. Additional symmetries play a significant and intriguing role in these systems. Notably, the Kadomtsev–Petviashvili (KP) hierarchy, a fundamental integrable system in mathematical physics, has garnered increasing attention. Orlov and Shulman introduced additional symmetries to the KP hierarchy, including Virasoro symmetries, which impose Virasoro constraints on the partition functions of matrix models of string theory under additional non-isospectral symmetries. The BKP hierarchy and the CKP hierarchy, two pivotal sub-hierarchies of the KP hierarchy, exhibit similar cases in the Toda hierarchy.

We invite authors to submit their papers to our Special Issue.

Prof. Dr. Chuanzhong Li
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

  • KP hierarchy
  • toda hierarchy
  • symmetry

Published Papers

This special issue is now open for submission.
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