Work

Differential invariants for a class of diffusion equations

Year: 2019

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1909.00477

Authors: Cardoso-Bihlo, Elsa Dos Santos, Bihlo, Alexander, Popovych, Roman O.

Institutions: University of Vienna, Memorial University of Newfoundland

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Canada Research Chairs, Österreichischen Akademie der Wissenschaften, Austrian Science Fund, Natural Sciences and Engineering Research Council of Canada

Awards: Weyl Theory: Procedures, Stability, Control and Applications, Extended group analysis of differential equations

OpenAlex ID: W4288236747

Cites:

Cited by:

Related to: 10