Lie symmetries of Benjamin-Ono equation
Copyright policy )Lie symmetries of Benjamin-Ono equation
<abstract><p>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.</p></abstract>
- University of Okara Pakistan
- University of the Punjab Pakistan
- Chengdu University China (People's Republic of)
- University of Education Pakistan
similarity reduction, Symmetry (geometry), First-order partial differential equation, Lie algebra, Symmetries, invariants, etc. in context of PDEs, Quantum, Homogeneous space, Differential equation, Lie conformal algebra, Mathematical Physics, Integro-differential equation, Physics, Partial differential equation, Adjoint representation, Benjamin-Ono equation, Integro-partial differential equations, Lie theory, Mathematical physics, Physical Sciences, Wave Maps Equation, Biotechnology, Geometry, Mathematical analysis, Quantum mechanics, Quantum field theory in curved spacetime, Adjoint representation of a Lie algebra, one parameter lie group, Discrete Solitons in Nonlinear Photonic Systems, QA1-939, FOS: Mathematics, Global Well-Posedness of Nonlinear Wave Equations, Spacetime symmetries, lie symmetry, Algebra over a field, benjamin-ono equation, invariant solutions, optimal system, Pure mathematics, Quantum gravity, Statistical and Nonlinear Physics, Lie symmetry, Dimension (graph theory), Physics and Astronomy, Lie bracket of vector fields, one parameter Lie group, TP248.13-248.65, Mathematics, Rogue Waves in Nonlinear Systems
similarity reduction, Symmetry (geometry), First-order partial differential equation, Lie algebra, Symmetries, invariants, etc. in context of PDEs, Quantum, Homogeneous space, Differential equation, Lie conformal algebra, Mathematical Physics, Integro-differential equation, Physics, Partial differential equation, Adjoint representation, Benjamin-Ono equation, Integro-partial differential equations, Lie theory, Mathematical physics, Physical Sciences, Wave Maps Equation, Biotechnology, Geometry, Mathematical analysis, Quantum mechanics, Quantum field theory in curved spacetime, Adjoint representation of a Lie algebra, one parameter lie group, Discrete Solitons in Nonlinear Photonic Systems, QA1-939, FOS: Mathematics, Global Well-Posedness of Nonlinear Wave Equations, Spacetime symmetries, lie symmetry, Algebra over a field, benjamin-ono equation, invariant solutions, optimal system, Pure mathematics, Quantum gravity, Statistical and Nonlinear Physics, Lie symmetry, Dimension (graph theory), Physics and Astronomy, Lie bracket of vector fields, one parameter Lie group, TP248.13-248.65, Mathematics, Rogue Waves in Nonlinear Systems
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