Differential invariants for a class of diffusion equations

• Datum: 2019
• Автори та афіліації: E. Dos Santos Cardoso-Bihlo — Memorial University of Newfoundland; A. Bihlo — Memorial University of Newfoundland; R. Popovych — Institute of Mathematics of NAS of Ukraine; Universitat Wien
• Ключові слова: keywords
• Hauptverfasser: Dos Santos Cardoso-Bihlo, E., Bihlo, A., Popovych, R., Дос Сантос Кардозо-Біло, E., Біло, А., Попович, Р.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2019
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/367
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We find the complete equivalence group of a class of (1+1)-dimensional second-order evolution equations, which is infinite-dimensional.The equivariant moving frame methodology is invoked to construct, in the regular case of the normalization procedure, a moving frame for a group related to the equivalence group in the context of equivalence transformations among equations of the class under consideration.Using the moving frame constructed, we describe the algebra of differential invariants of the former group by obtaining a minimum generating set of differential invariants and a complete set of independent operators of invariant differentiation.