A nonlinear heat transfer equation in turbulent media: symmetry classification, recursion operators, and exact solutions

2026/06/02 by I. S. Krasil'shchik · 1 voice
Physics and Astronomy · #nlin.SI #math-ph

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Abstract

We study a heat transfer equation in spatial dimensions n = 1, 2, and 3. A group classification with respect to the functional parameter k = k(T) is done and symmetry algebras are presented. Recursion operators are found in the case n = 1 and infinite hierarchies of symmetries are constructed. We also find a number of exact solution in all the three cases.

Discussions

• I. S. Krasil'shchik: A nonlinear heat transfer equation in turbulent media: symmetry classification, recursion operators, and exact solutions https://arxiv.org/abs/2606.03388 https://arxiv.org/pdf/260 [bsky, 0 points, 0 comments]

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