双模Jordan KdV方程的多孤子解与精确解

Multiple soliton solutions and other exact solutions for a two-mode Jordan KdV equation

根据简化的Hirota双线性方法和cole-hopf变换,当双模Jordan KdV方程中的非线性参数与线性参数取特殊值时,得到了双模Jordan KdV方程的多孤子解.同时,当方程中非线性参数与线性参数取一般值,也得到了这个方程的其它的精确解.

When the parameters of two-mode Jordan KdV equation take special value, multiple solitons solutions for two-mode Jordan Kd V equation is obtained by means of the simplified Hirota′s method and cole-hopf transformation. At the same time, when the parameters of two-mode Jordan KdV equation take general value,other exact solutions for two-mode Jordan Kd V equation is obtained.