利用试探函数法求Drinfel'd-Sokolov-Wilson方程组的精确解  

The exact solutions of the Drinfel'd-Sokolov-Wilson equations by using trial function method

作　　者：赵云梅[1] 

机构地区：[1]红河学院数学学院,云南蒙自661199

出　　处：《西北师范大学学报（自然科学版）》2013年第2期36-39,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11161020);云南省科技厅基金资助项目(2011FZ193);云南省教育厅基金资助项目(2012Y452)

摘　　要：利用4个不同的试探函数,通过引入变换和选择准确的试探函数,求出了Drinfel'd-Sokolov-Wilson方程组的新显式精确解,其中包括一般形式的指数函数解、奇异行波解和孤波解.此方法可用于求其他非线性偏微分方程组的精确解.In this paper, by introducing a new transformation and selecting accurate trial function from four kinds different trial function, some new explicit exact solutions of the Drinfel＇d-Sokolov-Wilson equations are obtained, which include the general form of exponential function solutions, singular travelling wave solutions and solitary wave solutions. This method can be applied to other nonlinear partial differential equations.

关 键 词：Drinfel'd-Sokolov-Wilson方程组 试探函数 精确解 

分 类 号：O175.2[理学—数学]