Type II hidden symmetries of the second heavenly equation

DOI10.1016/j.physleta.2007.04.100zbMath1209.83013OpenAlexW1984168861MaRDI QIDQ715927

Barbara Abraham-Shrauner

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.04.100

Mathematics Subject Classification ID

Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30)

Related Items (5)

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 ⋮ Master partial differential equations for a type II hidden symmetry ⋮ N-solitons and cuspon waves solutions of \((2 + 1)\)-dimensional Broer-Kaup-Kupershmidt equations via hidden symmetries of Lie optimal system ⋮ Type II hidden symmetries through weak symmetries for some wave equations

Cites Work

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• Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation
• The symmetry structure of the heavenly equation
• Partner symmetries and non-invariant solutions of four-dimensional heavenly equations
• Provenance of Type II hidden symmetries from nonlinear partial differential equations
• On the determination of non-local symmetries
• Hidden and contact symmetries of ordinary differential equations
• Group foliation and non-invariant solutions of the heavenly equation
• Hidden symmetries and nonlocal group generators for ordinary differential equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Type-II hidden symmetries of the linear 2D and 3D wave equations
• Multi-Hamiltonian structure of Plebanski's second heavenly equation
• LIE, a PC program for Lie analysis of differential equations

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