On auto and hetero Backlund transformations for the Henon-Heiles systems
Exactly Solvable and Integrable Systems
2018-03-06 v2 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We consider a canonical transformation of parabolic coordinates on the plain and suppose that this transformation together with some additional relations may be considered as a counterpart of the auto and hetero B\"acklund transformations associated with the integrable H\'enon-Heiles systems.
Keywords
Cite
@article{arxiv.1501.06695,
title = {On auto and hetero Backlund transformations for the Henon-Heiles systems},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:1501.06695},
year = {2018}
}
Comments
7 pages, LaTeX with AMS fonts, in this version we add an explicit expression for the B\"acklund transformation