Групова класифікація класу систем нелінійних рівнянь дифузії. I
Abstract
UDC 517.95:512.81 We study the Lie symmetries of a class of systems of $(1+1)$-dimensional nonlinear diffusion equations. The equivalence algebra and the kernel of maximal invariance algebras of this class are found. We prove that there are nine inequivalent subclasses of this class for which the corresponding diffusion systems admit Lie symmetry extensions. We also perform the exhaustive group classification of the systems of nonlinear diffusion equations that belong to the first identified subclass.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Ukrains’kyi Matematychnyi Zhurnal
- Publisher
- SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
- Volume
- 78
- Issue
- 3-4
- Pages
- 120–144
- Publication date
- 28 March 2026