| 几个非线性发展方程的新的紧孤立波解 |
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| 引用本文： | 张伟东,江新华.几个非线性发展方程的新的紧孤立波解[J].北京化工大学学报(自然科学版),2009,36(1):105-107. |
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| 作者姓名： | 张伟东 江新华 |
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| 作者单位： | 北京化工大学理学院， 北京 100029 |
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| 摘 要： | 以非线性发展方程的行波解为基础，探讨了几个非线性发展方程的求解。利用最新提出的扩展sine-cosine方法，研究了如下几个非线性发展方程：Klein Gordon型方程、RLW型方程、Boussinesq型方程以及KdV方程的一种变化型，得出了它们的紧孤立波解。所得出的解不仅涵盖了几个已经得出的解，而且还包括了几个新的精确解。
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| 关 键 词： | 非线性发展方程 扩展的sine-cosine方法 孤立波解 非线性发展方程 扩展的sine-cosine方法 孤立波解 |
| 收稿时间： | 2008-04-29 |
New compacton solutions of some nonlinear partial differential equations |
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| ZHANG WeiDong,JIANG XinHua.New compacton solutions of some nonlinear partial differential equations[J].Journal of Beijing University of Chemical Technology,2009,36(1):105-107. |
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| Authors: | ZHANG WeiDong JIANG XinHua |
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| Institution: | School of Science, Beijing University of Chemical Technology, Beijing 100029, China |
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| Abstract: | Based on the traveling solution theory of the nonlinear evolution equation,we discuss some nonlinear equations in this paper.By using the extended sine-cosine method,which was proposed recently,we studied the following nonlinear equations:the Klein-Gordon-type equation,the RLW-type equation,the Boussinesq-type equation and a variant of the KdV equation.We successfully obtained the compacton solutions of the above equations.The final results include not only some known solutions,but also some new exact speci... |
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| Keywords: | nonlinear evolution equation the extended sine-cosine method compacton solutions |
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