辅助方程构造耦合KdV方程组的精确解

The auxiliary equation for constructing the exact solutions of coupled KdV equations

通过辅助方程和函数相结合的一种方法,并借助符号计算系统Mathematica求解了耦合KdV方程组的类Jacobi椭圆函数精确解以及退化后的类孤波解.

Based on the auxiliary equation method, a method of auxiliary equation of elliptic runction combined with function transformation is proposed. The method is applied to constructed the Jacobi-like elliptic function exact solutions, degenerated solitary-like solutions or coupled KdV equations with forcible term with the help of symbolic computation system Mathematic.