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

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Xiao-Qun Cao , Sihang Xie , Hongze Leng , Wenlong Tian , Jia-Le Yao ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.2298/tsci2403341c

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.

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Mathematical Analysis

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Fractal Fractal derivative Space (punctuation) Mathematical analysis Mathematics Mathematical physics Fractal dimension Philosophy Fractal analysis Linguistics

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Type: article
Language: en
Landing Page: https://doi.org/10.2298/tsci2403341c
PDF: http://www.doiserbia.nb.rs/ft.aspx?id=0354-98362403341C
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DOI: https://doi.org/10.2298/tsci2403341c

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

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Language: en

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Publication year: 2024

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Publication date: 2024-01-01

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Authors: Xiao-Qun Cao, Sihang Xie, Hongze Leng, Wenlong Tian, Jia-Le Yao

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Landing page: https://doi.org/10.2298/tsci2403341c

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Concepts: Fractal, Fractal derivative, Space (punctuation), Mathematical analysis, Mathematics, Mathematical physics, Fractal dimension, Philosophy, Fractal analysis, Linguistics

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