ON CONSTRUCTION OF DARBOUX INTEGRABLE DISCRETE MODELS

ZHELTUKHIN K., Zheltukhina N.

REPORTS ON MATHEMATICAL PHYSICS, vol.92, no.3, pp.279-289, 2023 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 92 Issue: 3
  • Publication Date: 2023
  • Doi Number: 10.1016/s0034-4877(23)00080-0
  • Journal Name: REPORTS ON MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.279-289
  • Middle East Technical University Affiliated: Yes

Abstract

The problem of discretization of Darboux integrable equations is considered. Given a Darboux integrable continuous equation, one can obtain a Darboux integrable differential-discrete equation, using the integrals of the continuous equation. In the present paper, the discretization of the differential-discrete equations is done using the corresponding characteristic algebras. New examples of integrable discrete equations are obtained.