Darboux transformation and exact solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials

ZS Yersultanova, M Zhassybayeva… - … Journal of Geometric …, 2016 - World Scientific
ZS Yersultanova, M Zhassybayeva, K Yesmakhanova, G Nugmanova, R Myrzakulov
International Journal of Geometric Methods in Modern Physics, 2016World Scientific
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.
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.
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