Integrable Anisotropic Evolution Equations on a Sphere

Details Integrable Anisotropic Evolution Equations on a Sphere Integrable Anisotropic Evolution Equations on a Sphere

2005-12-14

arxiv.org/abs/nlin/0512032v1

SIGMA 1 (2005), 027, 11 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

10.3842/SIGMA.2005.027

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-B\"acklund
transformations are also found for all equations.

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