Approximate potential symmetries for partial differential equations

DOI10.1088/0305-4470/33/37/312zbMath0965.35025OpenAlexW2073380608MaRDI QIDQ4520692

F. M. Mahomed, Chang-Zheng Qu, Abdul Hamid Kara

Publication date: 13 December 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/33/37/312

zbMATH Keywords

perturbed wave equationapproximate Lie point symmetriesnonlinear diffusion equation with perturbed convection terms

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (9)

Homotopy series solutions of perturbed PDEs via approximate symmetry method ⋮ Potential symmetry generators and associated conservation laws of perturbed nonlinear equations ⋮ Lie group analysis and Riemann problems for a \(2\times 2\) system of balance laws ⋮ Invariants of multi-parameter approximate transformation groups. ⋮ Group analysis, invariance results, exact solutions and conservation laws of the perturbed fractional Boussinesq equation ⋮ Lie group analysis and conservation laws for the time-fractional third order KdV-type equation with a small perturbation parameter ⋮ Classification and approximate solutions to perturbed diffusion-convection equations ⋮ Approximate symmetries, conservation laws and numerical solutions for a class of perturbed linear wave type system ⋮ A new method to find series solutions of a nonlinear wave equation

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