Integrable Anisotropic Evolution Equations on a Sphere
Anatoly G. Meshkov, Maxim Ju. Balakhnev
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.
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