ON CONSTRUCTION OF DARBOUX INTEGRABLE DISCRETE MODELS

ZHELTUKHIN K., Zheltukhina N.

REPORTS ON MATHEMATICAL PHYSICS, cilt.92, sa.3, ss.279-289, 2023 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 92 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/s0034-4877(23)00080-0
  • Dergi Adı: REPORTS ON MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.279-289
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.