非稳的非线性Schrdinger方程的显式精确解

Explicit and exact solutions for unstable nonlinear Schrdinger equation

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Schr dinger方程的一些显式精确行波解,包括精确的平面波解、钟状孤立波解、扭状孤立波解、钟状扭状组合的孤立波解、奇异行波解和三角函数周期波解,补充和完善了已有文献的结果.

With the aid of a gauge transformation and combined ansatz method, some explicit and exact solutions of unstable nonlinear Schrdinger equation are obtained. These solutions include solitary wave solutions of the bell-type, solitary wave solutions of the kink-type, solitary wave solutions of a kind of combination of the bell-shape and kink-shape, and some singular traveling wave solutions. The results complement and improve some results of the previous works.