English

Backlund transformations and divisor doubling

Exactly Solvable and Integrable Systems 2018-02-07 v2 Mathematical Physics Dynamical Systems math.MP

Abstract

In classical mechanics well-known cryptographic algorithms and protocols can be very useful for construction canonical transformations preserving form of Hamiltonians. We consider application of a standard generic divisor doubling for construction of new auto B\"{a}cklund transformations for the Lagrange top and H\'{e}non-Heiles system separable in parabolic coordinates.

Keywords

Cite

@article{arxiv.1702.03642,
  title  = {Backlund transformations and divisor doubling},
  author = {A. V. Tsiganov},
  journal= {arXiv preprint arXiv:1702.03642},
  year   = {2018}
}

Comments

13 pages, LaTeX with AMS fonts, 2 figures

R2 v1 2026-06-22T18:16:25.462Z