A novel kind of AKNS integrable couplings and their Hamiltonian structures

Zhang Y., Ma W., ÜNSAL Ö.

TURKISH JOURNAL OF MATHEMATICS, cilt.41, sa.6, ss.1467-1476, 2017 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 6
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3906/mat-1511-123
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1467-1476
  • Anahtar Kelimeler: Integrable couplings, semidirect sum, Hamiltonian structure, SOLITON HIERARCHY, SEMIDIRECT SUMS, LIE-ALGEBRAS, EQUATIONS, SYSTEMS
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

We present a novel hierarchy of AKNS integrable couplings based on a specific semidirect sum of Lie algebras associated with sl(2). By applying the variational identity, we derive a bi-Hamiltonian structure of the resulting coupling systems, thereby showing their Liouville integrability.