Integrable Anisotropic Evolution Equations on a Sphere
可精确求解与可积系统
2008-04-24 v1 数学物理
math.MP
摘要
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.
引用
@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}
}
备注
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/