Integrable Anisotropic Evolution Equations on a Sphere

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-Bäcklund transformations are also found for all equations.

Bibliographic Details
Main Authors: Anatoly G. Meshkov, Maxim Ju. Balakhnev
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2005-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
evolution equation
equation on a sphere
integrability
symmetry classification
anisotropy
conserved densities
Bäcklund transformations
Online Access:http://www.emis.de/journals/SIGMA/2005/Paper027/

Internet

http://www.emis.de/journals/SIGMA/2005/Paper027/

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