具波动算子的非线性Schrdinger方程的显式精确解

Explicit and exact solutions to nonlinear Schrdinger equation with wave operator

借助于一个规范变换和组合的假设方法,求出了具波动算子的非线性Schr dinger方程的一些显式精确行波解,包括精确的平面波解、扭状孤立波解、包络孤立波解、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.展示了该方程解的结构的丰富多样性.

Using the aid of a gauge transformation and combined ansatz method, some explicit and exact solutions of nonlinear Sehrtktinger equation with wave operator 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.