高阶非线性长短波共振方程的显式精确解

Explicit and exact solutions to the higher order nonlinear long-short wave resonance equation

借助于尚亚东最近提出的扩展双曲函数法和精确求解非线性数学物理方程的计算机符号代数软件包"PDESolver",求出了一个描述长短波相互作用效应的高阶非线性方程的丰富的显式精确解,包括多个孤立波解、奇异行波解和三角函数周期波解.

With the aid of the extended hyperbolic function method and the computer symbolic algebraic software package ＂PDESolver＂, which is designed by the authors to solve nonlinear mathematical physic equations exactly, abundant explicit exact particular solutions to the higher order nonlinear long-short wave resonance equation which describes interactions between long and short waves are obtained. These solutions include the multiple solitary wave solutions, singular traveling wave solutions, and the periodic wave solutions of triangle function.