Volume 19, Issue 4, December 2012, Pages 489 - 523
Quasi-Periodic Solutions of the Relativistic Toda Hierarchy
Received 7 May 2012, Accepted 18 August 2012, Available Online 31 December 2012.
- DOI
- 10.1142/S1402925112500301How to use a DOI?
- Keywords
- Relativistic Toda hierarchy; quasi-periodic solutions
- Abstract
On the basis of the theory of algebraic curves, the continuous flow and discrete flow related to the relativistic Toda hierarchy are straightened out using the Abel–Jacobi coordinates. The meromorphic function and the Baker–Akhiezer function are introduced on the hyperelliptic curve. Quasi-periodic solutions of the relativistic Toda hierarchy are constructed with the help of the asymptotic properties and the algebro-geometric characters of the meromorphic function and the hyperelliptic curve.
- Copyright
- © 2012 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Dong Gong AU - Xianguo Geng PY - 2012 DA - 2012/12/31 TI - Quasi-Periodic Solutions of the Relativistic Toda Hierarchy JO - Journal of Nonlinear Mathematical Physics SP - 489 EP - 523 VL - 19 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112500301 DO - 10.1142/S1402925112500301 ID - Gong2012 ER -