New bi-Hamiltonian systems on the plane
Exactly Solvable and Integrable Systems
2017-06-28 v2 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We discuss several new bi-Hamiltonian integrable systems on the plane with integrals of motion of third, fourth and sixth order in momenta. The corresponding variables of separation, separated relations, compatible Poisson brackets and recursion operators are also presented in the framework of the Jacobi method.
Cite
@article{arxiv.1701.05716,
title = {New bi-Hamiltonian systems on the plane},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:1701.05716},
year = {2017}
}
Comments
15 pages, LaTeX with AMS fonts, corrected typos