Integrable Systems and Their Symmetries: Foundations and Advances
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 83
Special Issue Editors
Interests: integrable system; inverse scattering transform; nonlinear waves
Special Issue Information
Dear Colleagues,
Integrable systems are characterized by an extensive set of symmetries, leading to a large number of conserved quantities that determine their dynamics. This connection is vital because it provides rare exact solutions to otherwise intractable nonlinear equations. Studying this relationship offers deep insights into universal behavior in complex physical systems, from fluid dynamics and optics to fundamental particle physics and field theory. It serves as a crucial bridge between mathematics and physics, revealing underlying structures such as infinite-dimensional algebras and enabling powerful methods like the inverse scattering transform.
In this Special Issue, original research articles and reviews are welcome. Research areas may include (but are not limited to) the following:
- Integrable systems;
- Symmetry in integrable systems;
- Nonlinear waves;
- Solitons;
- Breathers;
- Rogue waves;
- Hirota bilinear method;
- Darboux transformation;
- Bäcklund transformation;
- Inverse scattering transform;
- Lie symmetry method;
- Painlevé analysis.
We look forward to receiving your contributions.
Dr. Su-Su Chen
Dr. Dan-Yu Yang
Guest Editors
Manuscript Submission Information
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Keywords
- integrable system
- symmetry in integrable system
- nonlinear wave
- solitons
- breathers
- rogue waves
- Hirota bilinear method
- Darboux transformation
- Bäcklund transformation
- inverse scattering transform
- Lie symmetry method
- Painlevé analysis
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