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arXiv · nlin/0512032

Integrable Anisotropic Evolution Equations on a Sphere

Anatoly G. Meshkov·Maxim Ju. Balakhnev
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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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Anatoly G. Meshkov, Maxim Ju. Balakhnev. 2005-12-14. Integrable Anisotropic Evolution Equations on a Sphere. https://doi.org/10.3842/sigma.2005.027

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