## 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
Component-trace identity for Hamiltonian structure of the integrable couplings of the Giachetti–Johnson (GJ) hierarchy and coupling integrable couplings
✍ Scribed by Xiangrong Wang; Yong Fang; Huanhe Dong
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 224 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
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 Ham
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