Integrable Anisotropic Evolution Equations on a Sphere

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.

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

Cited by in corpus (2)

• Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
• Symmetry approach to integrability and non-associative algebraic structures