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 n...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.展开更多
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)+3 种基金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)
文摘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.
