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| 摘要: |
| 本文研究了一类推广的KdV方程的行波解求解的问题.利用新的G展开法，并借助Mathematica计算软件，获得了该方程的含有多个任意参数的新的行波解，分别为三角函数解、双曲函数解、有理函数解和指数函数解，扩大了该类方程的解的范围. |
| 关键词: 推广的KdV方程 新的G展开法 行波解 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:国家自然科学基金资助（11461016）. |
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| NEW TRAVELLING WAVE SOLUTIONS FOR A CLASS OF THE GENERALIZED KdV EQUATION |
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WANG Xin,XING Wen-ya,LI Sheng-jun
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| Abstract: |
| In this paper, a class of the generalized KdV equation is studied. By new G-expansion method with the aid of computer symbolic system Mathematica, some new travelling wave solutions which involving parameters are obtained. These solutions contain the hyperbolic function solutions, the trigonometric function solutions, the rational function solutions and the exponential function solutions. The solutions of a class of the generalized KdV equation are enriched. |
| Key words: the generalized KdV equation new G-expansion method travelling wave solution |
