Work

On ℤ5 reduction of soliton equations related to sl(5) algebra

Year: 2025

Type: conference-paper

Abstract: Recently a new approach to the integrable systems, extending and generalizing the ISM was formulated. It is based on an effective parametrization of the Riemann-Hilbert problem, which allows one to extend the class of Lax pairs and effectively derive not only the corresponding NLEE as compatibility condition of two linear problems. This method is based on the possibility to treat the solution of the RHP as a fundamental analytic solution of the Lax pair, and then to apply the dressing Zakharov-Shabat method for deriving the soliton solutions of the NLEE. The aim of the present paper is to extend Mikhailov ℤ5 reduction group to the parametrization of the ℤ5 RHP. The NLEE that we obtained are dispersionless.

Source: Journal of Physics Conference Series

DOI: 10.1088/1742-6596/3002/1/012014

Authors: V. S. Gerdjikov, B. Kostadinov, S. Mishev, A. Stefanov

Institutions: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Varna Free University, New Bulgarian University, Sofia University "St. Kliment Ohridski"

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410153337

FWCI:

Cites: 22

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Related to: 10