2012/04/30 by Peng Zhao, Engui Fan, Yu Hou
Physics and Astronomy · #nlin.SI
paper · pdf · doi:10.1016/j.chaos.2013.05.012
49 pages. arXiv admin note: substantial text overlap with arXiv:nlin/0702058, arXiv:nlin/0611055 by other authors
arxiv created 2012/11/25 · arxiv updated 2015/06/04
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 Kp associated with the Burchnall-Chaundy polynomial, Dubrovin-type equations for auxiliary divisors and associated trace formulas. With the help of a foundamental meromorphic function ϕ, Baker-Akhiezer vector Ψ on Kp, the complex-valued algebro-geometric solutions of RT hierarchy are derived.