Associate symmetries: a novel procedure for finding contact symmetries

DOI10.1016/j.cnsns.2013.07.013zbMath1470.35016OpenAlexW1963695898MaRDI QIDQ2299657

John Carminati, G. F. Jefferson

Publication date: 24 February 2020

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

Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.07.013

zbMATH Keywords

symbolic computationdifferential equationscontact symmetriesassociate symmetry method

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Geometric theory, characteristics, transformations in context of PDEs (35A30) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (1)

Generating functions and existence of contact symmetries of third order scalar ordinary differential equations

Uses Software

• SYMMGRP
• DESOLVII
• DESOLV

Cites Work

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• True contact transformations admitted by a class of non-linear wave equations
• New origins of hidden symmetries for partial differential equations
• Iterating the nonclassical symmetries method
• Review of symbolic software for Lie symmetry analysis
• Finding higher symmetries of differential equations using the MAPLE package DESOLVII
• Symbolic computation and differential equations: Lie symmetries
• Lie symmetries of a coupled nonlinear Burgers-heat equation system
• Dynamics of Director Fields
• Iterations of the non-classical symmetries method and conditional Lie - Bäcklund symmetries
• Self-Invariant Contact Symmetries
• Conditional Lie-Backlund symmetry and reduction of evolution equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Reduction operators of linear second-order parabolic equations
• Symmetries and differential equations
• New symmetries for a model of fast diffusion

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