Integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential

Details Integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential Integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential

2007-03-14

arxiv.org/abs/nlin/0703027v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1142/S0217979208039228

In this paper, we propose integrable discretizations of a two-dimensional
Hamiltonian system with quartic potentials. Using either the method of
separation of variables or the method based on bilinear forms, we construct the
corresponding integrable mappings for the first three among four integrable
cases.

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