(2+1)维Konopelchenko-Dubrovsky方程新的多孤子解

New multisoliton solutions for (2+1)dimensional Konopelchenko-Dubrovsky equations

利用齐次平衡方法,将(2+1)维Konopelchenko-Dubrovsky方程转化为两个变量分离的线性偏微分方程,然后采用三种不同的函数假设,得到相应的常系数微分方程,通过求解特征方程,方便地构造出Konopelchenko-Dubrovsky方程新的多孤子解.

In this paper,using the homogeneous balance method,the （2 ＋ 1）dimensional Konopelchenko-Dubrovsky equations are converted into two variable-separated linear partial differential equations. for three different function assumptions,the constant coefficient differential equations are obtained,respectively. By solving the eigenequations,new multisoliton solutions of the KD equations are constructed conveniently.