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arxiv: 1409.0486 · v2 · pith:6CJN4DGAnew · submitted 2014-09-01 · 🌊 nlin.SI · nlin.PS

Soliton Equations with Self-Consistent Sources

classification 🌊 nlin.SI nlin.PS
keywords self-consistentequationssolitonsourceshfescspresentedsomeanalyzed
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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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