paper

On computation of Darboux polynomials for full Toda lattice

arXiv:2501.14251

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.

arXiv comment14 pages, LaTeX with Ams fonts