| 一类推广的KdV方程的新行波解 |
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| 引用本文： | 王鑫,邢文雅,李胜军.一类推广的KdV方程的新行波解[J].数学杂志,2017,37(4):859-864. |
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| 作者姓名： | 王鑫 邢文雅 李胜军 |
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| 作者单位： | 海南大学信息科学技术学院, 海南 海口 570228,海南大学信息科学技术学院, 海南 海口 570228,海南大学信息科学技术学院, 海南 海口 570228 |
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| 基金项目： | 国家自然科学基金资助（11461016）. |
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| 摘 要： | 本文研究了一类推广的Kd V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.
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| 关 键 词： | 推广的KdV方程 新的G展开法 行波解 |
| 收稿时间： | 2015/6/12 0:00:00 |
| 修稿时间： | 2015/10/19 0:00:00 |
NEW TRAVELLING WAVE SOLUTIONS FOR A CLASS OF THE GENERALIZED KdV EQUATION |
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| WANG Xin,XING Wen-ya and LI Sheng-jun.NEW TRAVELLING WAVE SOLUTIONS FOR A CLASS OF THE GENERALIZED KdV EQUATION[J].Journal of Mathematics,2017,37(4):859-864. |
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| Authors: | WANG Xin XING Wen-ya and LI Sheng-jun |
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| Institution: | College of Information Science and Technology, Hainan University, Haikou 570228, China,College of Information Science and Technology, Hainan University, Haikou 570228, China and College of Information Science and Technology, Hainan University, Haikou 570228, China |
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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. |
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| Keywords: | the generalized KdV equation new G-expansion method travelling wave solution |
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