Invariant representation and symmetry reduction for differential equations with a small param\-eter.

DOI10.1016/S1007-5704(03)00010-8zbMath1041.35003MaRDI QIDQ1417823

Yulia Yurievna Bagderina, Rafail Kav'evich Gazizov

Publication date: 6 January 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

shallow-water equationsapproximate groupsapproximate symmetry reduction

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Invariance and symmetry properties for PDEs on manifolds (58J70) Other special methods applied to PDEs (35A25)

Related Items (3)

Integrating of systems of two second-order ordinary differential equations with a small parameter that admit four essential operators ⋮ Approximate symmetries and solutions of the Kompaneets equation ⋮ Integration of systems of ordinary differential equations with a small parameter which admit approximate Lie algebras

Cites Work

• Perturbation methods in group analysis
• Representation of general invariants for approximate transformation groups
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