(2+1)维扰动时滞破裂孤波方程行波解的摄动方法

Perturbation method of travelling wave solution for(2+1) dimensional disturbed time delay breaking solitary wave equation

研究了一类(2+1)维扰动时滞破裂孤波方程.首先讨论了对应的无时滞情形下的破裂方程,利用待定系数投射方法得到了孤波精确解.再利用同伦、摄动近似方法得到了扰动破裂孤波方程的行波渐近解.

A class of （2＋1） dimentional disturbed time-delay breaking solitary wave equation is studied. Firstly, the corresponding non- delay breaking equation is considered. The exact solitary wave solution is obtained by using the mapping method with undetermined coefficients. Then, the travelling asymptotic solution of disturbed breaking solitary wave equation is found by using the homotopic mapping and perturbed approximate method.