On the Integrability of the Discrete Nonlinear Schroedinger Equation
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
In this letter we present an analytic evidence of the non-integrability of the discrete nonlinear Schroedinger equation, a well-known discrete evolution equation which has been obtained in various contexts of physics and biology. We use a reductive perturbation technique to show an obstruction to its integrability.
Cite
@article{arxiv.0808.0837,
title = {On the Integrability of the Discrete Nonlinear Schroedinger Equation},
author = {Decio Levi and Matteo Petrera and Christian Scimiterna},
journal= {arXiv preprint arXiv:0808.0837},
year = {2009}
}
Comments
4 pages, accepted in EPL