Darboux Transformation and Exact Solutions of the Myrzakulov-Lakshmanan-II Equation

2014/04/30 by M. Zhassybayeva, Zhassybayeva, M., G. Mamyrbekova +5
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.1404.7733

13 pages

arxiv created 2014/04/30 · arxiv updated 2014/05/01

Abstract

The Myrzakulov-Lakshmanan-II (ML-II) equation is one of a (2+1)-dimensional generalizations of the Heisenberg ferromagnetic equation. It is integrable and has a non-isospectral Lax representation. In this paper, the Darboux transformation (DT) for the ML-II equation is constructed. Using the DT, the 1-soliton and 2-soliton solutions of the ML-II equation are presented.

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