Open AccessLie 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) , partial differential equation , mathematics , homogeneous space , lie theory , lie algebra , differential equation , spacetime symmetries , first order partial differential equation , dimension (graph theory) , adjoint representation , integro differential equation , lie bracket of vector fields , algebra over a field , adjoint representation of a lie algebra , mathematical physics , mathematical analysis , pure mathematics , lie conformal algebra , physics , quantum mechanics , quantum , geometry , quantum field theory in curved spacetime , quantum gravity
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.