A novel kind of AKNS integrable couplings and their Hamiltonian structures

Zhang Y., Ma W., ÜNSAL Ö.

TURKISH JOURNAL OF MATHEMATICS, vol.41, no.6, pp.1467-1476, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 6
  • Publication Date: 2017
  • Doi Number: 10.3906/mat-1511-123
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1467-1476
  • Keywords: Integrable couplings, semidirect sum, Hamiltonian structure, SOLITON HIERARCHY, SEMIDIRECT SUMS, LIE-ALGEBRAS, EQUATIONS, SYSTEMS
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.