The Algebro-Geometric Solutions for the Ruijsenaars-Toda Hierarchy
Exactly Solvable and Integrable Systems
2015-06-04 v3
Abstract
We provide a detailed treatment of Ruijsenaars-Toda (RT) hierarchy with special emphasis on its the theta function representation of all algebro-geometric solutions. The basic tools involve hyperelliptic curve associated with the Burchnall-Chaundy polynomial, Dubrovin-type equations for auxiliary divisors and associated trace formulas. With the help of a foundamental meromorphic function , Baker-Akhiezer vector on , the complex-valued algebro-geometric solutions of RT hierarchy are derived.
Keywords
Cite
@article{arxiv.1204.4240,
title = {The Algebro-Geometric Solutions for the Ruijsenaars-Toda Hierarchy},
author = {Peng Zhao and Engui Fan and Yu Hou},
journal= {arXiv preprint arXiv:1204.4240},
year = {2015}
}
Comments
49 pages. arXiv admin note: substantial text overlap with arXiv:nlin/0702058, arXiv:nlin/0611055 by other authors