辅助方程构造带强迫项变系数组合KdV方程的精确解

The auxiliary equation for constructing the exact solutions of the variable coefficient combined KdV equation with forcible term

在辅助方程法的基础上给出第一种椭圆辅助方程和函数变换相结合的一种方法,并借助符号计算系统Mathematica构造了带强迫项变系数组合KdV方程的类Jacobi椭圆函数精确解以及退化后的类孤子解和三角函数解.

Based on the auxiliary equation method, a method of auxiliary equation of elliptic function combined with function transformation is proposed. The method is applied to constructed the Jacobi-like elliptic function exact solutions, degenerated solitary-like solutions and triangle-like function wave solutions of variable coefficient combined KdV equation with forcible term with the help of symbolic computation system Mathematica.