Soliton Equations with Self-Consistent Sources
arXiv:1409.0486
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.
13 pages
References in corpus (6)
- Integrable Motion of Curves in Self-Consistent Potentials : Relation to Spin Systems and Soliton Equations
- Integrable Rosochatius deformations of higher-order constrained flows and the soliton hierarchy with self-consistent sources
- Bäcklund transformations for the constrained dispersionless hierarchies and dispersionless hierarchies with self-consistent sources
- Restricted Flows and the Soliton Equation with Self-Consistent Sources
- On the integrable inhomogeneous Myrzakulov I equation
- On Camassa-Holm equation with self-consistent sources and its solutions