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The (2+1)-dimensional generalized time-fractional Zakharov Kuznetsov Benjamin Bona Mahony equation: its classical and nonclassical symmetries, exact solutions, and conservation laws

Alizadeh, Farzaneh ; Hincal, Evren ; Hosseini, Kamyar ; Hashemi, Mir Sajjad ; Das, Anusmita

Optical and quantum electronics, 2023-11, Vol.55 (12), Article 1061 [Periódico revisado por pares]

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Título:
The (2+1)-dimensional generalized time-fractional Zakharov Kuznetsov Benjamin Bona Mahony equation: its classical and nonclassical symmetries, exact solutions, and conservation laws
Autor: Alizadeh, Farzaneh ; Hincal, Evren ; Hosseini, Kamyar ; Hashemi, Mir Sajjad ; Das, Anusmita
Assuntos: Characterization and Evaluation of Materials ; Computer Communication Networks ; Conservation laws ; Electrical Engineering ; Exact solutions ; Fields (mathematics) ; Gravitational waves ; Impact analysis ; Lasers ; Optical Devices ; Optics ; Photonics ; Physics ; Physics and Astronomy ; Symmetry
É parte de: Optical and quantum electronics, 2023-11, Vol.55 (12), Article 1061
Descrição: In the present paper, a model of the gravitational waves of water known as the ( 2 + 1 ) -dimensional generalized time-fractional (2DGTF) Zakharov Kuznetsov Benjamin Bona Mahony (ZK–BBM) equation is studied. To this end, through employing the Lie symmetry method, exact solutions and reductions are derived for the governing equation. Additionally, classical and nonclassical Lie symmetry generators are acquired, and based on such Lie symmetry generators, conservation laws for the classical and nonclassical vector fields related to the 2DGTF ZK–BBM equation are constructed. Some case studies are given to analyze the impact of the order of the time-fractional derivative on the dynamics of the exact solutions.
Editor: New York: Springer US
Idioma: Inglês

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