Darboux Transformation and Exact Solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials
Abstract
Integrable Heisenberg ferromagnetic equations are an important subclass of integrable systems. The M-XCIX equation is one of a generalizations of the Heisenberg ferromagnetic equation and are integrable. In this paper, the Darboux transformation of the M-XCIX equation is constructed. Using the DT, a 1-soliton solution of the M-XCIX equation is presented.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2014
- DOI:
- arXiv:
- arXiv:1404.2270
- Bibcode:
- 2014arXiv1404.2270Y
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 10 pages, Int. J. Geom. Methods Mod. Phys., (2015)