Algebro-geometric solutions for the Ruijsenaars–Toda hierarchy

Peng Zhao, Engui Fan and Yu Hou

Chaos, Solitons & Fractals, 2013, vol. 54, issue C, 8-25

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 Kp associated with the Burchnall–Chaundy polynomial, Dubrovin-type equations for auxiliary divisors and associated trace formulas. With the help of a fundamental meromorphic function ϕ, Baker–Akhiezer vector Ψ on Kp, the complex-valued algebro-geometric solutions of RT hierarchy are derived.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:54:y:2013:i:c:p:8-25

DOI: 10.1016/j.chaos.2013.05.012

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