| 利用(G'/G)-展开法求广义的(2+1)维ZK-MEW方程的新精确解 |
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| 引用本文： | 赵云梅,杨云杰,李薇.利用(G'/G)-展开法求广义的(2+1)维ZK-MEW方程的新精确解[J].纯粹数学与应用数学,2011,27(3):322-326. |
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| 作者姓名： | 赵云梅 杨云杰 李薇 |
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| 作者单位： | 1. 红河学院数学学院,云南蒙自,661100
2. 昆明学院数学系,云南昆明,650031 |
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| 摘 要： | 结合齐次平衡法原理并利用(G'/G)-展开法,研究了广义的(2+1)维ZK-MEW方程的精确解,从而得到了广义的(2+1)维ZK-MEW方程的用双曲函数和三角函数表示的通解,当双曲函数通解中常数取特殊值时,便得到广义的(2+1)维ZK-MEW方程的孤立波解,获得了与现有文献不同的新精确解.
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| 关 键 词： | 广义的(2+1)维ZK-MEW方程 齐次平衡法 (G'/G)-展开法 精确解 孤立波解 |
Application of the (G'/G)-expansion method to new exact solutions for generalized (2+1)-dimensional |
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| ZHAO Yun-mei,YANG Yun-jie,LI Wei.Application of the (G'/G)-expansion method to new exact solutions for generalized (2+1)-dimensional[J].Pure and Applied Mathematics,2011,27(3):322-326. |
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| Authors: | ZHAO Yun-mei YANG Yun-jie LI Wei |
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| Institution: | ZHAO Yun-mei 1,YANG Yun-jie 2,LI Wei 1(1.Department of Mathematics,Honghe University,Mengzi 66110,China,2.Department of Mathematics,Kunming University,Kunming 650031,China) |
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| Abstract: | In this paper,combining the homogeneous balance method and(G /G)-expansion method,we study the new exact solution for generalized(2+1)-dimensional ZK-MEW equation.we obtain general hyperbolic function solutions and general trigonometric function solutions.The solution ware solutions are obtained when the constants involved in the general hyperbolic solution are set at special values,get the new exact solution differ from other esssays. |
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| Keywords: | generalized ZK-MEW equation homogeneous balance principle (G/G)-expansion method travelling wave solutions solitary wave |
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