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Darboux Transformation and Exact Solutions of the Myrzakulov-I Equation |
| CHEN Chi, ZHOU Zi-Xiang |
| School of Mathematical Sciences, Fudan University, Shanghai 200433Key Laboratory of Mathematics for Nonlinear Sciences of Ministry of Education, Fudan University, Shanghai 200433 |
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CHEN Chi, ZHOU Zi-Xiang 2009 Chin. Phys. Lett. 26 080504 |
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Abstract The Myrzakulov-I equation is a 2+1-dimensional generalization of the Heisenberg ferromagnetic equation and has a non-isospectral Lax pair. The Darboux transformation with non-constant spectral parameter is constructed and an extra constraint on the spectral parameter for the existence of the Darboux transformation is derived. Explicit expressions of the solutions of the Myrzakulov-I equation are presented.
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05.45.Yv
02.30.Jr
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Received: 30 March 2009
Published: 30 July 2009
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