Darboux Transformation and Exact Solutions of the Myrzakulov-I Equation

被引：18
|
作者：
Chen Chi
Zhou Zi-Xiang [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
CHINESE PHYSICS LETTERS | 2009年 / 26卷 / 08期
关键词：
SYSTEMS;
D O I：
10.1088/0256-307X/26/8/080504
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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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页数：4
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