Symmetry in Integrable Systems: Topics and Advances (Second Edition)
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 31 August 2026 | Viewed by 592
Special Issue Editor
Interests: integrable systems; soliton theory; equations of mathematical physics
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Symmetries play a paramount important role in mathematics as well as in physics. Similarity solutions or invariant solutions of a physical problem can be constructed using the Lie group theory. The relationship between symmetries and conservation laws generates the Noether theorem. The related applications of symmetries are to determine higher-order and non-local symmetries, conservation laws, nonlocal conservation laws and specific solutions from reductions. The preceding volume would like to offer an overview of the comprehensive treatments of the Lie groups of transformations, the discovery and use of symmetries to construct solutions, the conservation laws and phenomenological applications thereof.
Potential topics include but are not limited to the following:
- Symmetries;
- Conservation laws;
- Solitons;
- Integrable systems;
- Breathers;
- Rogue waves;
- Hirota bilinear method;
- Darboux transformation;
- Other miscellaneous applications of nonlinear integrable systems.
Prof. Dr. Bo Ren
Guest Editor
Manuscript Submission Information
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Keywords
- symmetries
- conservation laws
- solitons
- integrable systems
- breathers
- rogue waves
- hirota bilinear method
- darboux transformation
- other miscellaneous applications of nonlinear integrable systems
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Related Special Issue
- Symmetry in Integrable Systems: Topics and Advances in Symmetry (5 articles)
