Standard

On computation of Darboux polynomials for full Toda lattice. / Цыганов, Андрей Владимирович.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 147, 108815, 08.04.2025.

Research output: Contribution to journal › Article › peer-review

Harvard

Цыганов, АВ 2025, 'On computation of Darboux polynomials for full Toda lattice', Communications in Nonlinear Science and Numerical Simulation, vol. 147, 108815. https://doi.org/10.1016/j.cnsns.2025.108815

APA

Цыганов, А. В. (2025). On computation of Darboux polynomials for full Toda lattice. Communications in Nonlinear Science and Numerical Simulation, 147, [108815]. https://doi.org/10.1016/j.cnsns.2025.108815

Vancouver

Цыганов АВ. On computation of Darboux polynomials for full Toda lattice. Communications in Nonlinear Science and Numerical Simulation. 2025 Apr 8;147. 108815. https://doi.org/10.1016/j.cnsns.2025.108815

Author

Цыганов, Андрей Владимирович. / On computation of Darboux polynomials for full Toda lattice. In: Communications in Nonlinear Science and Numerical Simulation. 2025 ; Vol. 147.

BibTeX

@article{f47d574c0496443bb3a601c401cf5ff2,
title = "On computation of Darboux polynomials for full Toda lattice",
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.",
author = "Цыганов, {Андрей Владимирович}",
year = "2025",
month = apr,
day = "8",
doi = "10.1016/j.cnsns.2025.108815",
language = "English",
volume = "147",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On computation of Darboux polynomials for full Toda lattice

AU - Цыганов, Андрей Владимирович

PY - 2025/4/8

Y1 - 2025/4/8

N2 - 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.

AB - 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.

UR - https://www.sciencedirect.com/science/article/abs/pii/S1007570425002266

UR - http://arxiv.org/abs/2501.14251

UR - https://www.mendeley.com/catalogue/5b897a5e-77b4-3e51-98b8-7654a258f7b7/

U2 - 10.1016/j.cnsns.2025.108815

DO - 10.1016/j.cnsns.2025.108815

M3 - Article

VL - 147

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

M1 - 108815

ER -

ID: 134074996