用试探函数法求Zakharov-Kuznetsov方程的孤子解

Searching for the soliton solution to Zakharov-Kuznetsov equation by means of trial function method

通过引入一个新的变换,然后采用试探函数法,将非线性偏微分方程化为代数方程,然后用待定系数法确定相应的常数,最后求出Zakharov-Kuznetsov方程的孤子解。

The nonlinear partial differential equation is converted into algebraic equation by introducing a new transformation and using trial function method,then undetermined coefficient method is used to determine corresponding constants.Finally,the soliton solution to Zakharov-Kuznetsov equation is obtained.