一个非等谱非线性Schrdinger方程的解及其无穷守恒律  

Solutions to a Non-Isospectral Nonlinear Schrdinger Equation and Its Infinitely Many Conservation Laws

作　　者：石教云[1] 宁同科[1] 张大军[1] 

机构地区：[1]上海大学理学院,上海200436

出　　处：《上海大学学报（自然科学版）》2004年第6期595-598,共4页Journal of Shanghai University:Natural Science Edition

摘　　要：该文用Hirota方法求出一个非等谱非线性Schr¨odinger方程的类孤子解,并给出其无穷守恒律;通过变换得到相应非等谱散焦非线性Schr¨odinger方程的解.Soliton-like solutions to a non-isospectral nonlinear Schrdinger equation are obtained using the Hirota method. The related infinitely many conservation laws are also derived. In addition, solutions to the related non-isospectral defocusing nonlinear Schrdinger equation are given through transformation.

关 键 词：非等谱非线性Schroedinger方程 类孤子解 无穷守恒律 

分 类 号：O175.24[理学—数学]