Integrable and Superintegrable Klein-Gordon and Schr\"odinger Type Dimers
Exactly Solvable and Integrable Systems
2015-10-05 v1
Abstract
A -symmetric dimer is a two-site nonlinear oscillator or a nonlinear Schr\"odinger dimer where one site loses and the other site gains energy at the same rate. We present a wide class of integrable oscillator type dimers whose Hamiltonian is of arbitrary even order. Further, we also present a wide class of integrable and superintegrable nonlinear Schr\"odinger type dimers where again the Hamiltonian is of arbitrary even order.
Keywords
Cite
@article{arxiv.1510.00446,
title = {Integrable and Superintegrable Klein-Gordon and Schr\"odinger Type Dimers},
author = {Avinash Khare and Avadh Saxena},
journal= {arXiv preprint arXiv:1510.00446},
year = {2015}
}
Comments
11 pages, no figures