ON CONSTRUCTION OF DARBOUX INTEGRABLE DISCRETE MODELS
REPORTS ON MATHEMATICAL PHYSICS, vol.92, no.3, pp.279-289, 2023 (SCI-Expanded, Scopus)
- 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.