mZK方程的平台状双扭结孤立波解

Solution of flat-form solitary wave with double-kink to mZK equation

利用函数展开法得到了二维修正Zakharov-Kuznetsov(mZK)方程的钟状线孤子解、台状双扭结孤立波解和奇异行波解三类新型孤立波解.主要研究了平台状扭结孤立波解,研究发现,该解在不同情形下分别退化为mZK方程的钟状线孤子解或扭结状线孤子解.

Three classes of solitary wave solutions to the two-dimensional modifed Zakharov-Kuznetsov （mZK） equation is derived by using the hyperbola function expansion method . One of the solitary wave has double-kink structure and it reduces to the bell-like or kink-like line soliton under different cases . T he dependence of wave amplitude and wave width on the parameters are also discussed .