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Variational Principles for Two Compound Nonlinear Equations ‎with Variable Coefficients

Publish place: Journal of Applied and Computational Mechanics، Vol: 7، Issue: 2
Publish Year: 1400
Type: Journal paper
Language: English
View: 186

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Link to this Paper:
https://civilica.com/doc/1222059

Document National Code:

JR_JACM-7-2_004

Index date: 30 May 2021

Variational Principles for Two Compound Nonlinear Equations ‎with Variable Coefficients abstract

It is very important to seek explicit variational principles for nonlinear partial differential equations, which are theoretical bases for many methods to solve or analyze the nonlinear phenomena and problems. By designing the modified trial-Lagrange functional, different variational formulations are successfully and firstly established by the semi-inverse method for two kinds of compound nonlinear equation, i.e. the KdV-Burgers equation and the Burgers-BBM equation, respectively. Both of them contain the variable coefficients, which are time-dependent. Furthermore, the obtained variational principles are proved correct by minimizing the functionals with the calculus of variations.

Variational Principles for Two Compound Nonlinear Equations ‎with Variable Coefficients Keywords:

Variational principle , calculus of variations , compound KdV-Burgers equation , Compound Burgers-‎BBM equation

Variational Principles for Two Compound Nonlinear Equations ‎with Variable Coefficients authors

Xiao-Qun Cao

College of Meteorology and Oceanography, National University of Defense Technology, Changsha ۴۱۰۰۷۳, China

Ke-Cheng Peng

College of Meteorology and Oceanography, National University of Defense Technology, Changsha ۴۱۰۰۷۳, China

Meng-Zhu Liu

College of Meteorology and Oceanography, National University of Defense Technology, Changsha ۴۱۰۰۷۳, China

Cheng-Zhuo Zhang

College of Meteorology and Oceanography, National University of Defense Technology, Changsha ۴۱۰۰۷۳, China

Ya-Nan Guo

College of Meteorology and Oceanography, National University of Defense Technology, Changsha ۴۱۰۰۷۳, China

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