The complete family of 2D second-order two-component evolution PDEs with the infinite-dimensional holomorphic symmetry is identified, the Ricci-flow system is placed inside it, and new exact radial solutions are derived.
Lie symmetries and conservation laws of nonlinear multidimensional reaction-diffusion systems with variable diffusivities
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math-ph 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Nonlinear systems of PDEs admitting infinite-dimensional Lie algebras and their connection with Ricci flows. II: The two-dimensional space case
The complete family of 2D second-order two-component evolution PDEs with the infinite-dimensional holomorphic symmetry is identified, the Ricci-flow system is placed inside it, and new exact radial solutions are derived.