F-展开法与修正Jaulent-Miodek方程组的显式新行波解

F-expansion Method and New Explicit Wave Solutions of Modified Jaulent-Miodek Equations

选用带有参数的一阶常微分方程作为辅助方程,通过F-展开法对修正Jaulent-Miodek方程组进行求解。带有参数的一阶常微分方程除了具有三角函数和有理函数类型的显示解外,还可以运用试探函数法结合Matlab计算找出辅助方程的8种类型的显式新行波解。通过F-展开法结合辅助方程的解,进一步给出了修正Jaulent-Miodek方程组多种形式的显式新行波解。

In the F-expansion method,the first order ordinary differential equation with parameters is selected as the auxiliary equation.The modified Jaulent Miedek equation system is solved by F-expansion method.In addition to the display solutions of trigonometric and rational functions,eight types of explicit new row wave solutions of auxiliary equations are found by using the method of exploratory function and Matlab.By combining the solution of auxiliary equation with F expansion method,the new explicit wave solutions of modified Jaulent-Miodek equations are further given.