A Unified and Explicit Construction of N-Soliton Solutions for the Nonlinear Schrfdinger Equation
A Unified and Explicit Construction of N-Soliton Solutions for the Nonlinear Schrfdinger Equation作者机构:Institute of Mathematics Fudan University Shanghai 200433 China
出 版 物:《Communications in Theoretical Physics》 (理论物理通讯(英文版))
年 卷 期:2001年第36卷第10期
页 面:401-404页
核心收录:
基 金:中国基础研究项目 中国博士后科学基金 上海市博士后科研项目 河北省博士科研项目
主 题:Schrodinger equation, N-fold Darboux transformation, N-soliton solutions
摘 要:An explicit N-fold Darboux transformation with multiparameters for nonlinear Schrodinger equation is constructed with the help of its Lax pairs and a reduction technique. According to this Darboux transformation, the solutions of the nonlinear Schrfdinger equation are reduced to solving a linear algebraic system, from which a unified and explicit formulation of N-soliton solutions with multiparameters for the nonlinear Schrfdinger equation is given.