On the discretization of Laine equations

ZHELTUKHIN K., ZHELTUKHİNA N.

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, cilt.25, sa.1, ss.166-177, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/14029251.2018.1440748
  • Dergi Adı: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.166-177
  • Anahtar Kelimeler: Semi-discrete chain, Darboux integrability, x-integral, n-integral, discretization, LIOUVILLE TYPE, CLASSIFICATION, MODELS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We consider the discretization of Darboux integrable equations. For each of the integrals of a Laine equation we constructed either a semi-discrete equation which has that integral as an n-integral, or we proved that such an equation does not exist. It is also shown that all constructed semi-discrete equations are Darboux integrable.