Bcklund Transformation and Conservation Laws for the Variable-coefficient N-Coupled Nonlinear Schrdinger Equations with Symbolic Computation |
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基金项目: | Supported by the Foundation of Beijing Information Science and Technology University (Grant No. 1025020);Scientific Research Project of Beijing Educational Committee (Grant No. SQKM201211232016);Natural Science Foundation of Beijing (Grant No. 1102018);National Natural Science Foundation of China (Grant No. 61072145);Key Project of Chinese Ministry of Education (Grant No. 106033);National Basic Research Program of China (973 Program) (Grant No. 2005CB321901) |
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摘 要: | Considering the integrable properties for the coupled equations, the variable-coefficient N-coupled nonlinear Schrdinger equations are under investigation analytically in this paper. Based on the Lax pair with the nonisospectral parameter, a Bcklund 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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关 键 词: | Variable-coefficient N-coupled nonlinear Schrdinger equations Bcklund transformation conservation laws solitonic solution symbolic computation |
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