首次积分法及其在非线性发展方程中的应用

The First Integral Method and Its Applications in Nonlinear Volution Equations

结合首次积分法和求微分系统的多项式首次积分的递推公式方法,提出了一种新的首次积分法,并利用此方法得到了组合的KdV与MKdV方程和(2+1)维Zakharov-Kuznetsov方程的一些新的精确解.

In the present letter, a new first integral method is proposed by studying first integral method and recurrence formula of polynomial first integral. The method is applied combined KdV and MKdV equation and ZK equation. As a restart, some new exact solution are obtained.