On Computation of Darboux Polynomials for Full Toda Lattice

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2025Embargo end date: 01 Jan 2025Publisher:Elsevier BVJournal:Communications in Nonlinear Science and Numerical Simulation, volume 147, page 108,815 (issn: 1007-5704,

Copyright policy )

Authors: Andrey Vladimirovich Tsiganov;

doi: 10.2139/ssrn.5104715 , 10.1016/j.cnsns.2025.108815 , 10.48550/arxiv.2501.14251

arXiv: 2501.14251

On Computation of Darboux Polynomials for Full Toda Lattice

- Summary
- Subjects
- Metrics

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.

14 pages, LaTeX with Ams fonts

Related Organizations

St Petersburg University
Russian Federation
Pushkin Leningrad State University
Russian Federation

Keywords

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Nonlinear Sciences - Exactly Solvable and Integrable Systems, first integrals, FOS: Physical sciences, Mathematical Physics (math-ph), Dynamical Systems (math.DS), Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, full Toda lattice, FOS: Mathematics, method of undetermined coefficients, Darboux polynomials, Mathematics - Dynamical Systems, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

1

Average

Green