首页> 中文期刊>西北师范大学学报(自然科学版) >利用试探函数法求Drinfel'd-Sokolov-Wilson方程组的精确解

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

     

摘要

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.%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.

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