Soliton Equations with Self-Consistent Sources

2014/09/01 by Ratbay Myrzakulov, Myrzakulov, Ratbay
Physics and Astronomy · #Advanced Fiber Laser Technologies #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS) #nlin.PS #nlin.SI

paper · pdf · doi:10.48550/arxiv.1409.0486

13 pages

openalex publication_date 2014/09/01 · arxiv created 2014/09/04 · arxiv updated 2014/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider some soliton equations with self-consistent sources. A brief review of main SESCS is presented. In particular we construct the Heisenberg ferromagneic equation with self-consistent sources (HFESCS) which is integrable. The corresponding Lax representation is presented. Some properties of HFESCS are analyzed. The relation between soliton equations with self-consistent potentials and soliton equations with self-consistent sources is studied.

Citations

• Integrability of the Gauss-Codazzi-Mainardi equation in 2+1 dimensions
• On the integrable inhomogeneous Myrzakulov I equation

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