| 二维广义色散长波方程的显式行波解 |
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| 引用本文： | 何宝钢,徐昌智.二维广义色散长波方程的显式行波解[J].郑州大学学报(理学版),2005,37(1):26-29. |
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| 作者姓名： | 何宝钢 徐昌智 |
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| 作者单位： | 金华教育学院,浙江,金华,321000;浙江师范大学非线性物理研究所,浙江,金华,321004 |
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| 摘 要： | 用辅助方程法构建二维广义色散长波方程的精确解.经行波法约化方程,根据领头项分析,给出了这个模型的一个变换,利用非线性立方Klein-Gordon方程的解,获得二维广义色散长波方程丰富的显式行波解(包括孤波解,周期波解,雅可比椭圆函数解和其他精确平面波解).
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| 关 键 词： | 辅助方程 广义色散长波方程 显式行波解 |
| 文章编号： | 1671-6841(2005)01-0026-04 |
| 修稿时间： | 2004年3月4日 |
Traveling Wave Solutions of 2-Dimensional Generalized Dispersive Long Wave Equations |
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| He Baogang,Xu Changzhi.Traveling Wave Solutions of 2-Dimensional Generalized Dispersive Long Wave Equations[J].Journal of Zhengzhou University:Natural Science Edition,2005,37(1):26-29. |
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| Authors: | He Baogang Xu Changzhi |
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| Abstract: | Auxiliary equation method is extended and applied to 2-dimensional generalized dispersive long wave equations.Equations are reduced by using traveling wave method,and a simple transformation relation are obtained by using leading order analysis and starting new form of nonlinear evolution equations. Abundant explicit and exact plane wave solutions,such as solitary wave solutions,periodic wave solutions,Jacobi elliptic function solutions and other exact traveling plane wave solutions,are obtained by using exact solutions of the cubic nonlinear Klein-Gordon equation. |
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| Keywords: | auxiliary equation method generalized dispersive long wave equations traveling wave solutions |
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