The R-matrix approach to integrable systems on time scales

---

Atıf İçin Kopyala

Blaszak M., Silindir B., Szablikowski B. M.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, cilt.41, sa.38, 2008 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 41 Sayı: 38
• Basım Tarihi: 2008
• Doi Numarası: 10.1088/1751-8113/41/38/385203
• Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

A general unifying framework for integrable soliton-like systems on time scales is introduced. The R-matrix formalism is applied to the algebra of delta-differential operators in terms of which one can construct an infinite hierarchy of commuting vector fields. The theory is illustrated by two infinite-field integrable hierarchies on time scales which are Delta-differential counterparts of KP and mKP. The difference counterparts of AKNS and Kaup-Broer soliton systems are constructed as related finite-field restrictions.