Hidden and not so hidden symmetries

DOI10.1155/2012/890171zbMath1239.34031OpenAlexW2022208907WikidataQ58907542 ScholiaQ58907542MaRDI QIDQ411121

K. Andriopoulos, Keshlan S. Govinder, Peter G. L. Leach

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/890171

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (7)

Lie symmetries and singularity analysis for generalized shallow-water equations ⋮ Algebraic solutions of the Hirota bilinear form for the Korteweg-de Vries and Boussinesq equations ⋮ 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 ⋮ Optimal system, similarity solution and Painlevé test on generalized modified Camassa-Holm equation ⋮ Generating functions and existence of contact symmetries of third order scalar ordinary differential equations ⋮ Symmetry Reduction of Ordinary Differential Equations Using Moving Frames

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• Hidden symmetries associated with the projective group of nonlinear first-order ordinary differential equations
• Hidden symmetries of energy-conserving differential equations
• Hidden symmetries and linearization of the modified Painlevé–Ince equation
• Hidden and contact symmetries of ordinary differential equations
• Hidden symmetries and nonlocal group generators for ordinary differential equations
• Lie subalgebras, reduction of order, and group-invariant solutions

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