应用(G′/G)-展开法求Ostrovsky方程的精确解

The(G′/G)-expansion method to obtain the explicit solutions of Ostrovsky equation

应用(G′/G)-展开法,研究(1+1)维Ostrivsky方程,得到该方程的孤立波解、周期解和有理函数解.所得结果表明:(G′/G)-展开法是获得非线性发展方程孤立波解的一个直接有效的方法.

The（1＋1）-dimensional Ostrivsky equation will be studied by using（G′/G）-expansion method.Exact traveling wave solutions are obtained.The traveling wave solutions are expressed in terms of hyperbolic functions,the trigonometric functions and the rational functions.It is shown that the（G′/G）-expansion method may provide us with a straightforward and effective mathematical tool for seeking exact solitary wave solutions of nonlinear evolution equations.