Approximate Symmetries of the Boussinesq Equation

DOI10.2989/16073600309486039zbMath1032.58023OpenAlexW2091545409MaRDI QIDQ4709422

V. A. Baikov, Svetlana A. Kordyukova

Publication date: 22 June 2003

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073600309486039

zbMATH Keywords

approximate symmetrieslinear wave equationBoussinesq type equationLie-Bäcklund transformationsapproximately invariant solutionsintegral-differential transformations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic equations on manifolds (58J45) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (6)

Approximate Q-conditional symmetries of partial differential equations ⋮ Approximate group analysis and multiple time scales method for the approximate Boussinesq equation ⋮ A consistent approach to approximate Lie symmetries of differential equations ⋮ Symmetries of the Fisher-Kolmogorov-Petrovskii-Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation ⋮ Korteweg-de Vries hierarchy as an asymptotic limit of the Boussinesq system ⋮ Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation

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