The (w/g)-expansion method and its application to Vakhnenko equation |
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引用本文: | 李文安,陈浩,张国才.The (w/g)-expansion method and its application to Vakhnenko equation[J].中国物理 B,2009,18(2):400-404. |
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作者姓名: | 李文安 陈浩 张国才 |
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作者单位: | School of Physics and Telecommunication Engineering, South
China
Normal University, Guangzhou 510006, China;School of Physics and Telecommunication Engineering, South
China
Normal University, Guangzhou 510006, China;School of Physics and Telecommunication Engineering, South
China
Normal University, Guangzhou 510006, China |
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摘 要: | This paper presents a new function expansion method for finding travelling wave solutions of a nonlinear evolution equation and calls it the (ω/g)-expansion method, which can be thought of as the generalization of (G /G)-expansion given by Wang et al recently. As an application of this new method, we study the well-known Vakhnenko equation which describes the propagation of high-frequency waves in a relaxing medium. With two new expansions, general types of soliton solutions and periodic solutions for Vakhnenko equation are obtained.
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关 键 词: | (ω/g)-expansion method Vakhnenko equation travelling wave solutions |
收稿时间: | 2008-01-15 |
修稿时间: | 7/9/2008 12:00:00 AM |
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