scholarly journals Generalized variational principles for Boussinesq equation systems

2011 ◽  
Vol 60 (8) ◽  
pp. 080401
Author(s):  
Cao Xiao-Qun ◽  
Song Jun-Qiang ◽  
Zhang Wei-Min ◽  
Zhu Xiao-Qian ◽  
Zhao Jun
Keyword(s):  
Boussinesq Equation ◽  
Variational Principles ◽  
Generalized Variational Principles

Variational Principles for Some Nonlinear Wave Equations

2008 ◽  
Vol 63 (5-6) ◽  
pp. 237-240 ◽  
Author(s):  
Zhao-Ling Tao
Keyword(s):  
Nonlinear Wave ◽  
Inverse Method ◽  
Wave Equations ◽  
Boussinesq Equation ◽  
Variational Principles ◽  
Vries Equation ◽  
Nonlinear Wave Equations ◽  
Kawahara Equation ◽  
De Vries

Using the semi-inverse method proposed by Ji-Huan He, variational principles are established for some nonlinear wave equations arising in physics, including the Pochhammer-Chree equation, Zakharov-Kuznetsov equation, Korteweg-de Vries equation, Zhiber-Shabat equation, Kawahara equation, and Boussinesq equation.

Generalized variational principles in the finite-element method.

AIAA Journal ◽  
1969 ◽  
Vol 7 (7) ◽  
pp. 1254-1260 ◽  
Author(s):  
B. E. GREENE ◽  
R. E. JONES ◽  
R. W. McLAY ◽  
D. R. STROME
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variational Principles ◽  
The Finite Element Method ◽  
Generalized Variational Principles ◽  
Element Method
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