带强迫项变系数组合KdV方程的显式精确解

Explicit and exact solutions to the variable coefficient combined KdV equation with forced term

通过构造两个新的Riccati方程组,推广了Riccati方法,使其具有简洁的形式,丰富和发展了已有的结果,借助Mathematica软件,求出了带强迫项变系数组合KdV方程的一些精确解,包括各种类孤波解、类周期解和变速孤波解.

By constructing two new Riccati equations and using the generalized Riccati method, we simplified the form and enriched the general results. Using Mathematica software, exact solutions of the variable coefficient combined KdV equation with forced term are obtained, including many kinds of solitary-wave-like solutions, guasi-periodical solutions and solitary wave solutions with variable speed.