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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 2012, Vol.28 (5), p.969-974
Main Author: Xiang Hua MENG Bo TIAN Tao XU Hai Qiang ZHANG
Format: Article
Language:English
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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.
ISSN:1439-8516
1439-7617