Symmetries and Conservation Laws for the 2D Ricci Flow Model
Abstract
The paper aims to study the connection between symmetries and conservation laws for the 2D Ricci flow model. The procedure starts by obtaining a set of multipliers which generates conservation laws. Then, using a general relation which connects symmetries and conservation laws for whatever dynamical system, one determines symmetries related to a chosen multiplier. On this basis, new similarity solutions of the model, not yet discussed in literature, are highlighted.
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