On the Complete Integrability of Nonlinear Dynamical Systems on Discrete Manifolds within the Gradient-Holonomic Approach
Exactly Solvable and Integrable Systems
2015-05-20 v2 Mathematical Physics
math.MP
Abstract
A gradient-holonomic approach for the Lax type integrability analysis of differentialdiscrete dynamical systems is devised. The asymptotical solutions to the related Lax equation are studied, the related gradient identity is stated. The integrability of a discrete nonlinear Schredinger type dynamical system is treated in detail.
Keywords
Cite
@article{arxiv.1010.2531,
title = {On the Complete Integrability of Nonlinear Dynamical Systems on Discrete Manifolds within the Gradient-Holonomic Approach},
author = {Yarema A. Prykarpatsky and Nikolai N. Bogolubov and Anatoliy K. Prykarpatsky and Valeriy H. Samoylenko},
journal= {arXiv preprint arXiv:1010.2531},
year = {2015}
}
Comments
20 pages