Bäcklund transformation and conservation laws for the variable-coefficient N-coupled nonlinear Schrödinger equations with symbolic computation

被引：0
|
作者：
Xiang Hua Meng
Bo Tian
Tao Xu
Hai Qiang Zhang
机构：
[1] Beijing University of Posts and Telecommunications,School of Science
[2] Beijing Information Science and Technology University,Department of Mathematics, School of Applied Science
来源：
Acta Mathematica Sinica, English Series | 2012年 / 28卷
关键词：
Variable-coefficient ; -coupled nonlinear Schrödinger equations; Bäcklund transformation; conservation laws; solitonic solution; symbolic computation; 35A20;
D O I：
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中图分类号：
学科分类号：
摘要：
Considering the integrable properties for the coupled equations, the variable-coefficient Ncoupled nonlinear Schrödinger equations are under investigation analytically in this paper. Based on the Lax pair with the nonisospectral parameter, a Bäcklund transformation for such a coupled system denoting in the Γ functions is constructed with the one-solitonic solution given as the application sample. Furthermore, an infinite number of conservation laws are obtained using symbolic computation.
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页码：969 / 974
页数：5
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