The coupling integrable couplings of the modified Korteweg–de Vries (mKdV) hierarchy
✍ Scribed by Xiurong Guo
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 223 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
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✦ Synopsis
a b s t r a c t Two kinds of coupling integrable couplings of the mKdV hierarchy are obtained, respectively, by making use of two higher-dimensional Lie algebras in the vector forms. The Hamiltonian structure of one reduced coupling integrable coupling of them is worked out by employing the variational identity.
📜 SIMILAR VOLUMES
a b s t r a c t Lie algebras and Lie super algebra are constructed and integrable couplings of NLS-MKdV hierarchy are obtained. Furthermore, its Hamiltonian and Super-Hamiltonian are presented by using of quadric-form identity and super-trace identity. The method can be used to produce the Hamiltoni
Solutions of the Korteweg-de Vries hierarchy are discussed. It is shown that results by Wazwaz [Wazwaz AM. Multiple-soliton solutions of the perturbed KdV equation. Commun Nonlinear Sci Simul 2010;15(11):3270-73] are the well-known consequences of the full integrability for the Korteweg-de Vries hie
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.
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