Bcklund Transformation and Conservation Laws for the Variable-coefficient N-Coupled Nonlinear Schrdinger Equations with Symbolic Computation  

作　　者：Xiang Hua MENG Bo TIAN Tao XU Hai Qiang ZHANG 

机构地区：[1]School of Science,Beijing University of Posts and Telecommunications [2]Department of Mathematics,School of Applied Science,Beijing Information Science and Technology University

出　　处：《Acta Mathematica Sinica,English Series》2012年第5期969-974,共6页数学学报（英文版）

基　　金：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)

摘　　要：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.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.

关 键 词：Variable-coefficient N-coupled nonlinear SchrSdinger equations Backlund transformation conservation laws solitonic solution symbolic computation 

分 类 号：O175.29[理学—数学] TN929.11[理学—基础数学]