Konopelchenko-Dubrovsky方程非行波孤子相互作用解

Interaction solutions of non-traveling wave soliton for(2+1)-D Konopelchenko-Dubrovsky equation

本文通过退耦变换将(2+1)维Konopelchenko-Dubrovsky方程化成单一方程,利用Lie群理论将所得单一方程约化成(1+1)维非线性偏微分方程,应用广义同宿测试方法求解该约化的(1+1)维方程,得到了(2+1)维KD方程新的非行波孤子相互作用解,并分析了它们的局部结构.

In this paper, the （2＋1） -D Konopelchenko-Dubrovsky equation is converted to single equa- tion by function translation. Based on combining Lie symmetry method, the single equation is reduced to the （1＋1） -D partial differential equation. Then by the extended homoclinic test approach, the new in- teraction solutions of non-traveling wave solitons for the （2＋1） -D Konopelchenko-Dubrovsky equation are obtained, and the localized structures are given.