𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The hierarchy of an integrable coupling and its Hamiltonian structure

✍ Scribed by Chang Lin; Mai-mai Lin

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
172 KB
Volume
15
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis

A type of higher dimensional loop algebra is constructed from which an isospectral problem is established. It follows that an integrable coupling, actually an extended integrable model of the existed solitary hierarchy of equations, is obtained by taking use of the zero curvature equation, whose Hamiltonian structure is worked out by employing the constructed quadratic identity.

πŸ“œ SIMILAR VOLUMES

New integrable couplings and Hamiltonian
New integrable couplings and Hamiltonian structure of the KN hierarchy and the DLW hierarchy
✍ Yufeng Zhang; Honwah Tam πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 178 KB

## Two new loop algebras e F and e G are constructed, which are devoted to establishing the resulting isospectral problems. By taking use of the compatibility of Lax pairs, the two corresponding zero curvature equations are presented from which the integrable couplings of the KN hierarchy and the d

Two integrable couplings of the Tu hiera
Two integrable couplings of the Tu hierarchy and their Hamiltonian structures
✍ Zhu Li; Huanhe Dong πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 235 KB

The double integrable couplings of the Tu hierarchy are worked out by use of Vector loop algebras G 6 and G 9 respectively. Also the Hamiltonian structures of the obtained system are given by the quadratic-form identity.

Component-trace identity for Hamiltonian
Component-trace identity for Hamiltonian structure of the integrable couplings of the Giachetti–Johnson (GJ) hierarchy and coupling integrable couplings
✍ Xiangrong Wang; Yong Fang; Huanhe Dong πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 224 KB

The integrable couplings of the Giachetti-Johnson (GJ) hierarchy are obtained by the perturbation approach and its Hamiltonian structure is given for the first time by component-trace identities. Then, coupling integrable couplings of the GJ hierarchy are worked out.