Soliton Solutions and Bilinear Bcklund Transformation for Generalized Nonlinear Schrdinger Equation with Radial Symmetry  

作　　者：江彦 田播 刘文军 孙鲲 屈启兴 

机构地区：[1]School of Science,Beijing University of Posts and Telecommunications [2]State Key Laboratory of Software Development Environment,Beijing University of Aeronautics and Astronautics [3]Key Laboratory of Information Photonics and Optical Communications(BUPT),Ministry of Education,Beijing University of Posts and Telecommunications

出　　处：《Communications in Theoretical Physics》2010年第10期635-640,共6页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.60772023;the Open Fund (No.BUAASKLSDE-09KF-04);Supported Project (No.SKLSDE-2010ZX-07) of the State Key Laboratory of Software Development Environment,Beijing University of Aeronautics and Astronautics;the National Basic Research Program of China (973 Program) under Grant No.2005CB321901;the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.200800130006,Chinese Ministry of Education

摘　　要：Investigated in this paper is the generalized nonlinear Schrodinger equation with radial symmetry. With the help of symbolic computation, the one-, two-, and N-soliton solutions are obtained through the bilinear method. B^cklund transformation in the bilinear form is presented, through which a new solution is constructed. Graphically, we have found that the solitons are symmetric about x = O, while the soliton pulse width and amplitude will change along with the distance and time during the propagation.

关 键 词：generalized nonlinear SchrSdinger equation radial symmetry bilinear method symbolic computation soliton solutions Bgcklund transformation 

分 类 号：O241.82[理学—计算数学]