Potential symmetry generators and associated conservation laws of perturbed nonlinear equations

DOI10.1016/j.amc.2003.07.012zbMath1055.65113OpenAlexW2055190347MaRDI QIDQ1886574

A. H. Davison, Abdul Hamid Kara

Publication date: 18 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.07.012

zbMATH Keywords

nonlinear systemsnonlinear diffusion equationKorteweg-de Vries equationConservation lawsLie group methodsnonlinear Burgers equationperturbed wave equationApproximate potential generators

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (2)

Invariant solutions of certain nonlinear evolution type equations with small parameters ⋮ Group-theoretical framework for potential symmetries of evolution equations

Cites Work

• Potential symmetry generators of some perturbed nonlinear evolution related equations
• Perturbation methods in group analysis
• Symmetry analysis of differential equations with MATHEMATICA
• Approximate symmetries and conservation laws with applications
• Approximate potential symmetries for partial differential equations
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
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