Integrable Anisotropic Evolution Equations on a Sphere
Exactly Solvable and Integrable Systems
2008-04-24 v1 Mathematical Physics
math.MP
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-B\"acklund transformations are also found for all equations.
Keywords
Cite
@article{arxiv.nlin/0512032,
title = {Integrable Anisotropic Evolution Equations on a Sphere},
author = {Anatoly G. Meshkov and Maxim Ju. Balakhnev},
journal= {arXiv preprint arXiv:nlin/0512032},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/