Generalized variational principles for the modified Benjamin-Bona-Mahony equation in the fractal space-Reference-Cited by-同舟云学术

Generalized variational principles for the modified Benjamin-Bona-Mahony equation in the fractal space

Published:2024 Issue:3 Part A Volume:28 Page:2341-2349
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:Therm sci

Author:

Cao Xiao-Qun¹,Xie Si-Hang²,Leng Hong-Ze²,Tian Wen-Long³,Yao Jia-Le²

Affiliation:

1. College of Meteorology and Oceanography, National University of Defense Technology, Changsha, China + College of Computer, National University of Defense Technology, Changsha, China

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

3. College of Computer, National University of Defense Technology, Changsha, China

Abstract

Because variational principles are very important for some methods to get the numerical or exact solutions, it is very important to seek explicit variational formulations for the non-linear PDE. At first, this paper describes the modified Benjamin-Bona-Mahony equation in fractal porous media or with irregular boundaries. Then, by designing skillfully the trial-Lagrange functional, variational principles are successfully established for the modified Benjamin-Bona-Mahony equation in the fractal space, respectively. Furthermore, the obtained variational principles are proved correct by minimizing the functionals with the calculus of variations.

Publisher

National Library of Serbia

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