Integrable Anisotropic Evolution Equations on a Sphere

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-Backlund transformations are also found for all equations.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2005
Main Authors: Meshkov, A.G., Balakhnev, M.Ju.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209333
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Integrable Anisotropic Evolution Equations on a Sphere / A.G. Meshkov, M.Ju. Balakhnev // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine