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This article is cited in 12 scientific papers (total in 12 papers)
Integrable Anisotropic Evolution Equations on a Sphere
Anatoly G. Meshkov, Maxim Ju. Balakhnev Orel State University, 95 Komsomol'skaya Str., Orel, 302026 Russia
Abstract:
V.V. Sokolov's modifying symmetry approach is applied to anisotropic evolution equations of the third order on the $n$-dimensional sphere. The main result is a complete classification of such equations. Auto-Bäcklund transformations are also found for all equations.
Keywords:
evolution equation; equation on a sphere; integrability; symmetry classification; anisotropy; conserved densities; Bäcklund transformations.
Received: September 25, 2005; in final form December 9, 2005; Published online December 14, 2005
Citation:
Anatoly G. Meshkov, Maxim Ju. Balakhnev, “Integrable Anisotropic Evolution Equations on a Sphere”, SIGMA, 1 (2005), 027, 11 pp.
Linking options:
https://www.mathnet.ru/eng/sigma27 https://www.mathnet.ru/eng/sigma/v1/p27
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Abstract page: | 243 | Full-text PDF : | 46 | References: | 21 |
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