Integrable Anisotropic Evolution Equations on a Sphere

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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.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/159561

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0512032
 http://arxiv.org/abs/nlin/0512032
 SIGMA 1 (2005), 027, 11 pages
 doi:10.3842/SIGMA.2005.027

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arXiv