| Variational principles for two kinds of extended Korteweg—de Vries equations |
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| 引用本文： | 曹小群,宋君强,张卫民,赵军. Variational principles for two kinds of extended Korteweg—de Vries equations[J]. 中国物理 B, 2011, 20(9): 90401-090401. DOI: 10.1088/1674-1056/20/9/090401 |
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| 作者姓名： | 曹小群 宋君强 张卫民 赵军 |
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| 作者单位： | School of Computer Science, National University of Defense Technology, Changsha 410073, China |
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| 摘 要： | Variational principles are constructed using the semi-inverse method for two kinds of extended Korteweg—de Vries (KdV) equations, which can be regarded as simple models of the nonlinear oceanic internal waves and atmospheric long waves, respectively. The obtained variational principles have also been proved to be correct.
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| 关 键 词： | KdV方程 变分原理 方程组 德弗里斯 简单模型 海洋内波 KDV 非线性 |
| 收稿时间： | 2010-12-29 |
| 修稿时间： | 2011-04-06 |
Variational principles for two kinds of extended Korteweg–de Vries equations |
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| Cao Xiao-Qun,Song Jun-Qiang,Zhang Wei-Min and Zhao Jun. Variational principles for two kinds of extended Korteweg–de Vries equations[J]. Chinese Physics B, 2011, 20(9): 90401-090401. DOI: 10.1088/1674-1056/20/9/090401 |
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| Authors: | Cao Xiao-Qun Song Jun-Qiang Zhang Wei-Min Zhao Jun |
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| Affiliation: | School of Computer Science, National University of Defense Technology, Changsha 410073, China |
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| Abstract: | Variational principles are constructed using the semi-inverse method for two kinds of extended Korteweg—de Vries (KdV) equations, which can be regarded as simple models of the nonlinear oceanic internal waves and atmospheric long waves, respectively. The obtained variational principles have also been proved to be correct. |
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| Keywords: | He's semi-inverse method variational principles oceanic internal wave atmospheric long wave |
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