(2+1)维modified Zakharov-Kuznetsov方程的复合型新解

给出函数变换,变量分离形式解与第一种椭圆方程相结合的方法,构造了(2+1)维modified Zakharov-Kuznetsov(m ZK)方程的多种复合型新解.步骤一,给出两种函数变换,将(2+1)维m ZK方程转化为能够获得变量分离解的非线性发展方程.步骤二,给出非线性发展方程的变量分离形式解,通过第一种椭圆方程及其相关结论,构造了(2+1)维m ZK方程的双孤子解和双周期解等复合型新解.

The new complexion solutions of the (2+1) dimension modified Zakharov-Kuznetsov equation

The method combing the function transformation, the variables separation type so-lutions and the first kind of elliptic equation is presented to construct many kinds of new complexion solutions of the (2+1) dimension modified Zakharov-Kuznetsov equation. Step1, two kinds of function transformations are presented, and the (2+1) dimension mZK equation can be changed to the nonlinear evolution equation that can obtain the variables separation type solutions. Step2, the variables sepa-ration type solutions of the nonlinear evolution equation are presented, and by the relative conclusions of the first kind of elliptic equation, the two-soliton solutions and the two-period solutions and other new complexion solutions of the (2+1) dimension mZK equation are constructed.