非稳非线性Schrodinger方程的显式精确解  

Explicit and exact solutions for unstable nonlinear schrodinger equation

作　　者：袁毅枫[1] 

机构地区：[1]江门职业技术学院,广东江门529000

出　　处：《佛山科学技术学院学报（自然科学版）》2007年第4期9-12,23,共5页Journal of Foshan University(Natural Science Edition)

摘　　要：借助于一个规范变换和组合的假设方法,求出了非稳的非线性Schrodinger方程的一些显式精确行波解,包括钟状孤立波解、扭状孤立波解和一些奇异行波解,补充和完善了已有文献的结果。With the aid of a gauge transformation and combined ansatz method, we obtain some explicit and exact solutions of unstable nonlinear Schrodinger equation. These solutions include solitary wave solutions of the bell-type, solitary wave solutions of the kink-type, and some singular travelling wave solutions. The results complement and improve some results of the previous works.

关 键 词：非稳非线性Schrodinger方程 规范变换 组合假设方法 精确解 

分 类 号：O175.29[理学—数学]