Differential invariants for a class of diffusion equations

• Date: 2019
• Author Affiliations: 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
• Keywords: keywords
• Main Authors: Dos Santos Cardoso-Bihlo, E., Bihlo, A., Popovych, R., Дос Сантос Кардозо-Біло, E., Біло, А., Попович, Р.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/367
• Journal Title: 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...