修正的广义Vakhnenko方程的多重复合型解

Multiple Complexiton Solutions for the Modified Generalized Vakhnenko Equation

通过扩展实参数到复参数,利用Hirota双线性方法和一组变换,构造了含两个特殊常系数的修正的广义Vakhnenko方程的多重复合型解.用图形展示了复合型解的详细结构,其中有非奇异的复合型解、loop孤立子、cusp孤立子、线孤立子以及它们的相互作用情况.

By extending the real parameters into complex parameters,multiple complexiton solutions for two specific coefficients of the modified generalized Vakhnenko equation are constructed with the help of the Hirota＇s bilinear method and a set of transformations of the independent variables.The detailed structures of complexiton,loop soliton,cusp soliton,line soliton and their interactions are given out graph-ically.