Type-II hidden symmetries through weak symmetries for nonlinear partial differential equations

DOI10.1016/j.jmaa.2008.07.067zbMath1149.35006OpenAlexW1988826062MaRDI QIDQ950470

Maria Luz Gandarias

Publication date: 22 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.067

zbMATH Keywords

hidden symmetriespartial differential equationsweak symmetries

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

Type II hidden symmetries for the homogeneous heat equation in some general classes of Riemannian spaces ⋮ 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 ⋮ Lie symmetries for systems of evolution equations ⋮ Cole‐Hopf Transformations for Higher Dimensional Burgers Equations With Variable Coefficients ⋮ Type II hidden symmetries through weak symmetries for some wave equations ⋮ Closed-form solutions of the Wheeler-DeWitt equation in a scalar-vector field cosmological model by Lie symmetries ⋮ Differential invariants, hidden and conditional symmetry

Uses Software

• SYMMGRP.MAX

Cites Work

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• Hidden symmetries and linearization of the modified Painlevé–Ince equation
• Symmetry reductions of a particular set of equations of associativity in two-dimensional topological field theory
• 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
• A Personal Overview on the Reduction Methods for Partial Differential Equations