New bi-Hamiltonian systems on the plane

作者:Tsiganov A V
来源:Journal of Mathematical Physics, 2017, 58(6): 062901.
DOI:10.1063/1.4989534

摘要

We discuss several new bi-Hamiltonian integrable systems on the plane with integrals of motion of third, fourth, and sixth orders 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. Published by AIP Publishing.

  • 出版日期2017-6