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Chin. Phys. B, 2011, Vol. 20(9): 090401    DOI: 10.1088/1674-1056/20/9/090401
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Variational principles for two kinds of extended Korteweg–de Vries equations

Cao Xiao-Qun(曹小群), Song Jun-Qiang(宋君强), Zhang Wei-Min(张卫民), and Zhao Jun(赵军)
School of Computer Science, National University of Defense Technology, Changsha 410073, China
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.
Keywords:  He's semi-inverse method      variational principles      oceanic internal wave      atmospheric long wave  
Received:  29 December 2010      Revised:  06 April 2011      Accepted manuscript online: 
PACS:  04.20.Fy (Canonical formalism, Lagrangians, and variational principles)  
  92.10.hf (Planetary waves, Rossby waves)  
  92.10.hj (Internal and inertial waves)  

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Cao Xiao-Qun(曹小群), Song Jun-Qiang(宋君强), Zhang Wei-Min(张卫民), and Zhao Jun(赵军) Variational principles for two kinds of extended Korteweg–de Vries equations 2011 Chin. Phys. B 20 090401

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