On dummy variables of structure-preserving transformations

2011/10/27 by J. C. Ndogmo, Ndogmo, J. C.
Mathematics · Physics and Astronomy · #34C20 #35A30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Group Theory (math.GR) #Nonlinear Waves and Solitons #Numerical methods for differential equations #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1110.6023

openalex publication_date 2011/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A method is given for obtaining equivalence subgroups of a family of differential equations from the equivalence group of simpler equations of a similar form, but in which the arbitrary functions specifying the family element depend on fewer variables. Examples of applications to classical equations are presented, some of which show how the method can actually be used for a much easier determination of the equivalence group itself.

Related

• Group Classification of a family of second-order differential equations
• Some comparison results on equivalence groups
• Equivalence for Differential Equations
• Equivalence groupoid of a class of variable coefficient Korteweg–de Vries equations
• Equivalence transformations in the study of integrability