用Riccati方程构造修正的Kawahara方程的精确解

Constructing New Exact Solutions to Modified Kawahara Equation with Riccati Equation

该文在辅助方程法的基础上,利用EXP-函数展开法求出了辅助方程具体形式的指数函数解,从而利用辅助方程的解可以方便的求出非线性发展方程的指数函数形式解,同时可以得到简单的双曲函数解和三角函数解。我们选择修正的Kawahara方程作为例子说明.这种方法也可用于寻找其它非线性发展方程的新的精确解。

Based on the auxiliary equation, new solutions to auxiliary equation in terms of exponential function are obtained by using EXP -function, and the exponential function solutions to nonlinear evolution equations are conveniently gotten. Moreover, hyperbolic function solutions and trigonometric functions solutions are also obtained. The modified Kawahara equation is chosen to illustrate this method. This method can be also used to find new exact solutions to other nonlinear evolution equations.