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Symmetry, Integrability and Geometry: Methods and Applications, 2005, Volume 1, 027, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2005.027 (Mi sigma27) 		 
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
Full-text PDF (234 kB) Citations (12)
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DOI: https://doi.org/10.3842/SIGMA.2005.027
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
Bibliographic databases:
Document Type: Article
MSC: 35Q58; 35L65; 37K10; 37K35
Language: English
Citation: Anatoly G. Meshkov, Maxim Ju. Balakhnev, “Integrable Anisotropic Evolution Equations on a Sphere”, SIGMA, 1 (2005), 027, 11 pp.
Citation in format AMSBIB
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\by Anatoly G. Meshkov, Maxim Ju. Balakhnev
\paper Integrable Anisotropic Evolution Equations on a~Sphere
\jour SIGMA
\yr 2005
\vol 1
\papernumber 027
\totalpages 11
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\crossref{https://doi.org/10.3842/SIGMA.2005.027}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2169850}
\zmath{https://zbmath.org/?q=an:1099.35139}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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