✦ LIBER ✦
A three-parameter difference Hamiltonian operator, corresponding pair of Hamiltonian operators and a family of Liouville integrable lattice equations
✍ Scribed by Xi-Xiang Xu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 214 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
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✦ Synopsis
A difference Hamiltonian operator involved three arbitrary real parameters is introduced. When these parameters in the difference Hamiltonian operator are properly chosen, we obtain a pair of difference Hamiltonian operators. Then, using Magri scheme of bi-Hamiltonian formulation, we construct a family of Liouville integrable lattice equations. Finally, the discrete zero curvature representation of obtained family is presented.