Lie symmetries of Benjamin-Ono equation | Zendy

Weidong Zhao | Zendy; Mobeen Munir | Zendy; Ghulam Murtaza | Zendy; Muhammad Athar | Zendy

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Lie symmetries of Benjamin-Ono equation

Author(s) -

Weidong Zhao,

Mobeen Munir,

Ghulam Murtaza,

Muhammad Athar

Publication year - 2021

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2021466

Subject(s) - symmetry (geometry) , homogeneous space , partial differential equation , lie algebra , mathematics , dimension (graph theory) , lie theory , differential equation , work (physics) , mathematical physics , algebra over a field , pure mathematics , adjoint representation of a lie algebra , mathematical analysis , lie conformal algebra , physics , quantum mechanics , geometry

Lie Symmetry analysis is often used to exploit the conservative laws of nature and solve or at least reduce the order of differential equation. One dimension internal waves are best described by Benjamin-Ono equation which is a nonlinear partial integro-differential equation. Present article focuses on the Lie symmetry analysis of this equation because of its importance. Lie symmetry analysis of this equation has been done but there are still some gaps and errors in the recent work. We claim that the symmetry algebra is of five dimensional. We reduce the model and solve it. We give its solution and analyze them graphically.

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