B/icklund Transformation and Conservation Laws for the Variable-coefficient N-Coupled Nonlinear Schrodinger Equations with Symbolic Computation

Considering the integrable properties for the coupled equations, the variable-coefficient N- coupled nonlinear Schrodinger equations are under investigation analytically in this paper. Based on the Lax pair with the nonisospectral parameter, a Backlund transformation for such a coupled system denoti...

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Bibliographic Details
Published in数学学报：英文版 Vol. 28; no. 5; pp. 969 - 974
Main Author Xiang Hua MENG Bo TIAN Tao XU Hai Qiang ZHANG
Format Journal Article
LanguageEnglish
Published 2012
Subjects
Backlund变换
Lax对
变系数
守恒定律
符号计算
耦合方程
耦合非线性薛定谔方程
转化
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Summary:Considering the integrable properties for the coupled equations, the variable-coefficient N- coupled nonlinear Schrodinger equations are under investigation analytically in this paper. Based on the Lax pair with the nonisospectral parameter, a Backlund transformation for such a coupled system denoting in the F 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.
Bibliography:11-2039/O1
Considering the integrable properties for the coupled equations, the variable-coefficient N- coupled nonlinear Schrodinger equations are under investigation analytically in this paper. Based on the Lax pair with the nonisospectral parameter, a Backlund transformation for such a coupled system denoting in the F 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.
Variable-coefficient N-coupled nonlinear SchrSdinger equations, Backlund transformation, conservation laws, solitonic solution, symbolic computation
ISSN:1439-8516
1439-7617