Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4)

• Autorzy: Jian Zhang , Chiping Zhang , Yunan Cui
• Języki publikacji: EN

Abstrakty

EN

In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated with SO(4) for a hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Moreover, Hamiltonian structures of the obtained bi-integrable and tri-integrable couplings are constructed by the variational identities.

Słowa kluczowe

EN

Bi-integrable couplings; Tri-integrable couplings; Zero curvature equations; Hamiltonian structures

Kategorie tematyczne

• 35Q53: KdV-like equations (Korteweg-de Vries)
• 37K05: Hamiltonian structures, symmetries, variational principles, conservation laws
• 37K10: Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 203-217

Daty

wydano

2017-01-01

otrzymano

2016-08-30

zaakceptowano

2017-01-26

online

2017-03-11

Twórcy

autor

Jian Zhang

• Department of Mathematics, Harbin University of Science and Technology, Rongcheng Campus, Rongcheng 264300,

autor

Chiping Zhang

• Department of Mathematics, Harbin Institute of Technology, Harbin 150001,

autor

Yunan Cui

• Department of Mathematics, Harbin University of Science and Technology, Harbin 150080,

Identyfikatory

DOI

10.1515/math-2017-0017