Nonclassical Symmetries for Nonlinear Partial Differential Equations via Compatibility

DOI10.1088/0253-6102/56/4/02zbMath1247.76017OpenAlexW2007323507MaRDI QIDQ2913396

Mostafa Fatouh El-Sabbagh, Ahmad T. Ali

Publication date: 26 September 2012

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/56/4/02

zbMATH Keywords

nonclassical symmetriescompatibility(2+1)-dimensional shallow water waveBoussinesq equations and the dispersive wave equations in shallow water

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Navier-Stokes equations (35Q30) Applications of Lie groups to the sciences; explicit representations (22E70) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (4)

New Double-Periodic Soliton Solutions for the (2+1)-Dimensional Breaking Soliton Equation ⋮ Multiple-soliton solutions, soliton-type solutions and rational solutions for the \((3+1)\)-dimensional generalized shallow water equation in oceans, estuaries and impoundments ⋮ Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation ⋮ Double-periodic soliton solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation in incompressible fluid

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