Lie symmetry analysis, nonlinear self-adjointness and conservation laws to an extended \((2+1)\)-dimensional Zakharov-Kuznetsov-Burgers equation

DOI10.1016/j.compfluid.2015.06.033zbMath1390.76928OpenAlexW1759113933MaRDI QIDQ1645911

Kamran Fakhar, Gang-Wei Wang

Publication date: 22 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2015.06.033

zbMATH Keywords

conservation lawsLie symmetry analysisnonlinear self-adjointness\((2+1)\)-dimensional Zakharov-Kuznetsov-Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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Cites Work

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• Two dimensional electromagnetic shock structures in dense electron-positron-ion magnetoplasmas
• Painlevé analysis, Lie symmetries and exact solutions for \((2+1)\)-dimensional variable coefficients Broer-Kaup equations
• Zakharov-Kuznetsov-Burgers equation in superthermal electron-positron-ion plasma
• 1-soliton solution of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and time-dependent coefficients
• 1-soliton solution of the Zakharov-Kuznetsov equation with dual-power law nonlinearity
• A new conservation theorem
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Darboux transformations of classical Boussinesq system and its new solutions
• Lie symmetry analysis and exact solutions for the short pulse equation
• 1-soliton solution of the generalized Zakharov-Kuznetsov modified equal width equation
• On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations
• Symmetry solutions and reductions of a class of generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation
• Solitons and conservation laws of Klein-Gordon equation with power law and log law nonlinearities
• Solitons and other solutions to the quantum Zakharov-Kuznetsov equation
• Integrating factors, adjoint equations and Lagrangians
• Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation
• Exact solutions of gasdynamic equations obtained by the method of conservation laws
• Nonlinear self-adjointness and conservation laws
• The inverse scattering transform: Semi-infinite interval
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries

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