First integrals of ordinary difference equations which do not possess a variational formulation
Mathematical Physics
2013-07-30 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
The paper presents a new method for finding first integrals of ordinary difference equations which do not possess Lagrangians, nor Hamiltonians. As an example we solve a third order nonlinear ordinary differential equation and its invariant discretization using three first integrals obtained using this method.
Keywords
Cite
@article{arxiv.1307.7585,
title = {First integrals of ordinary difference equations which do not possess a variational formulation},
author = {P. Winternitz and V. Dorodnitsyn and E. Kaptsov and R. Kozlov},
journal= {arXiv preprint arXiv:1307.7585},
year = {2013}
}