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article · Symmetry Integrability and Geometry Methods and Applications · 2021

Lax Pair for a Novel Two-Dimensional Lattice

М. Н. Кузнецова

Cited by 1Open access

Abstract

In paper by I.T. Habibullin and our joint paper the algorithm for classification of integrable equations with three independent variables was proposed. This method is based on the requirement of the existence of an infinite set of Darboux integrable reductions and on the notion of the characteristic Lie-Rinehart algebras. The method was applied for the classification of integrable cases of different subclasses of equations u n,xy = f (u n+1 , u n , u n-1 , u n,x , u n,y ) of special forms. Under this approach the novel integrable chain was obtained. In present paper we construct Lax pair for the novel chain. To construct the Lax pair, we use the scheme suggested in papers by E.V. Ferapontov. We also study the periodic reduction of the chain.

Cite this paper

APA 7

Кузнецова, М. Н. (2021). Lax Pair for a Novel Two-Dimensional Lattice. Symmetry Integrability and Geometry Methods and Applications. https://doi.org/10.3842/sigma.2021.088

MLA 9

Кузнецова, М. Н. “Lax Pair for a Novel Two-Dimensional Lattice.” Symmetry Integrability and Geometry Methods and Applications, 2021, https://doi.org/10.3842/sigma.2021.088.

Chicago

Кузнецова, М. Н. 2021. “Lax Pair for a Novel Two-Dimensional Lattice.” Symmetry Integrability and Geometry Methods and Applications. https://doi.org/10.3842/sigma.2021.088.

Harvard

Кузнецова, М.Н. (2021) ‘Lax Pair for a Novel Two-Dimensional Lattice’, Symmetry Integrability and Geometry Methods and Applications. Available at: https://doi.org/10.3842/sigma.2021.088.

BibTeX
@article{anon2021pair,
  title = {{Lax Pair for a Novel Two-Dimensional Lattice}},
  author = {Кузнецова, М. Н.},
  journal = {Symmetry Integrability and Geometry Methods and Applications},
  year = {2021},
  doi = {10.3842/sigma.2021.088}
}

Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.

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