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arXiv · 1404.7733

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

M. Zhassybayeva·G. Mamyrbekova·G. Nugmanova·R. Myrzakulov
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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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M. Zhassybayeva, G. Mamyrbekova, G. Nugmanova, R. Myrzakulov. 2014-04-30. Darboux Transformation and Exact Solutions of the Myrzakulov-Lakshmanan-II Equation. https://arxiv.org/abs/1404.7733

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