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Soliton Equations with Self-Consistent Sources

Exactly Solvable and Integrable Systems 2014-09-05 v2 Pattern Formation and Solitons
Authors: Ratbay Myrzakulov
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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.

Keywords

soliton

Cite

@article{arxiv.1409.0486,
  title  = {Soliton Equations with Self-Consistent Sources},
  author = {Ratbay Myrzakulov},
  journal= {arXiv preprint arXiv:1409.0486},
  year   = {2014}
}

Comments

13 pages

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