ON DISCRETIZATION OF DARBOUX INTEGRABLE SYSTEMS ADMITTING SECOND-ORDER INTEGRALS

Zheltukhin K., Zheltukhina N.

UFA MATHEMATICAL JOURNAL, cilt.13, sa.2, ss.170-186, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.13108/2021-13-2-170
  • Dergi Adı: UFA MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.170-186
  • Anahtar Kelimeler: Darboux integrability, discretization, HYPERBOLIC-EQUATIONS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We consider a discretization problem for hyperbolic Darboux integrable systems. In particular, we discretize continuous systems admitting x - and y-integrals of the first and second order. Such continuous systems were classified by Zhyber and Kostrigina. In the present paper, continuous systems are discretized with respect to one of continuous variables and the resulting semi-discrete system is required to be also Darboux integrable.