TY - JOUR

T1 - On an integrable system on a plane with an integral of motion of sixth order in momenta

AU - Tsiganov, Andrey V.

PY - 2017

Y1 - 2017

N2 - In the framework of the Jacobi method we obtain a new integrable system on the plane with a natural Hamilton function and a second integral of motion which is a polynomial of sixth order in momenta. The corresponding variables of separation are images of usual parabolic coordinates on the plane after a suitable Backlund transformation. We also present separated relations and prove that the corresponding vector field is bi-Hamiltonian.

AB - In the framework of the Jacobi method we obtain a new integrable system on the plane with a natural Hamilton function and a second integral of motion which is a polynomial of sixth order in momenta. The corresponding variables of separation are images of usual parabolic coordinates on the plane after a suitable Backlund transformation. We also present separated relations and prove that the corresponding vector field is bi-Hamiltonian.

KW - Bäcklund transformations

KW - Finite-dimensional integrable systems

KW - Separation of variables

UR - http://www.scopus.com/inward/record.url?scp=85017384125&partnerID=8YFLogxK

U2 - 10.20537/nd1701008

DO - 10.20537/nd1701008

M3 - Article

AN - SCOPUS:85017384125

VL - 13

SP - 117

EP - 127

JO - Russian Journal of Nonlinear Dynamics

JF - Russian Journal of Nonlinear Dynamics

SN - 2658-5324

IS - 1

ER -