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.
Symmetries and invariants for the 2D-Ricci flow model
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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.