Cartan matrices and integrable lattice Toda field equations

Habibullin, Ismagil; ZHELTUKHIN, KOSTYANTYN; Yangubaeva, Marina

doi:10.1088/1751-8113/44/46/465202

Cartan matrices and integrable lattice Toda field equations

Atıf İçin Kopyala

Habibullin I., ZHELTUKHIN K., Yangubaeva M.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, cilt.44, sa.46, 2011 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 44 Sayı: 46
Basım Tarihi: 2011
Doi Numarası: 10.1088/1751-8113/44/46/465202
Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Differential-difference integrable exponential-type systems are studied corresponding to the Cartan matrices of semi-simple or affine Lie algebras. For the systems corresponding to the algebras A(2), B(2), C(2), G(2), the complete sets of integrals in both directions are found. For the simple Lie algebras of the classical series A(N), B(N), C(N) and affine algebras of series D(N)((2)), the corresponding systems are supplied with the Lax representation.