Anatoly MESHKOV  and Maxim BALAKHNEV
Orel State University,
95 Komsomolskaya Str.,
Orel 302026,

Integrable anisotropic evolution equations on the sphere

A symmetry classification of integrable anisotropic evolution equations of third order on the N-dimensional sphere is performed and a complete list of integrable equations is presented. For each equation of the list auto Backlund transformation is found.