New origins of hidden symmetries for partial differential equations

DOI10.1016/j.nonrwa.2008.10.065zbMath1179.35267OpenAlexW2067715858MaRDI QIDQ1036761

Barbara Abraham-Shrauner, Keshlan S. Govinder

Publication date: 13 November 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.10.065

zbMATH Keywords

hidden symmetriespartial differential equationspotential symmetriescontact symmetries

Mathematics Subject Classification ID

Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (6)

Mixed lump-kink solutions to the KP equation ⋮ Type II hidden symmetries for the homogeneous heat equation in some general classes of Riemannian spaces ⋮ The reduction of the Laplace equation in certain Riemannian spaces and the resulting type II hidden symmetries ⋮ Hidden and not so hidden symmetries ⋮ N-solitons and cuspon waves solutions of \((2 + 1)\)-dimensional Broer-Kaup-Kupershmidt equations via hidden symmetries of Lie optimal system ⋮ Associate symmetries: a novel procedure for finding contact symmetries

Uses Software

• LIE

Cites Work

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• Type-II hidden symmetries of the linear 2D and 3D wave equations
• Symmetries and differential equations
• LIE, a PC program for Lie analysis of differential equations

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