On computation of Darboux polynomials for full Toda lattice
Exactly Solvable and Integrable Systems
2025-01-27 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
One of the oldest methods for computing invariants of ordinary differential equations is tested using the full Toda lattice model. We show that the standard method of undetermined coefficients and modern symbolic algebra tools together with sufficient computing power allow to compute Darboux invariants without any additional information.
Keywords
Cite
@article{arxiv.2501.14251,
title = {On computation of Darboux polynomials for full Toda lattice},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:2501.14251},
year = {2025}
}
Comments
14 pages, LaTeX with Ams fonts