Vector hyperbolic equations on the sphere possessing integrable third order symmetries
Exactly Solvable and Integrable Systems
2015-06-12 v2
Abstract
The complete lists of vector hyperbolic equations on the sphere that have integrable third order vector isotropic and anisotropic symmetries are presented. Several new integrable hyperbolic vector models are found. By their integrability we mean the existence of vector Backlund transformations depending on a parameter. For all new equations such transformations are constructed.
Cite
@article{arxiv.1211.0681,
title = {Vector hyperbolic equations on the sphere possessing integrable third order symmetries},
author = {Anatoly Meshkov and Vladimir Sokolov},
journal= {arXiv preprint arXiv:1211.0681},
year = {2015}
}
Comments
Submitted in Lett. Math. Phys