Soliton Equations with Self-Consistent Sources
Ratbay Myrzakulov
TL;DR
This paper explores integrable soliton equations with self-consistent sources, introduces a new Heisenberg ferromagnetic equation with such sources, and analyzes its properties and relations to other soliton equations.
Contribution
It constructs and analyzes the integrable Heisenberg ferromagnetic equation with self-consistent sources and presents its Lax representation.
Findings
HFESCS is integrable
Lax representation is derived
Properties and relations to other equations are analyzed
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.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Fiber Laser Technologies