Journal
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
Volume 16, Issue 7-8, Pages 301-306Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/ijnsns-2014-0119
Keywords
discrete integrable lattice model; positive and negative hierarchy; soliton solutions; Darboux transformation
Funding
- Natural Science Foundation of China [11271008, 61072147]
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By considering a new discrete isospectral eigen-value problem, a hierarchy of integrable positive and negative lattice models is derived. It is shown that they correspond to positive and negative power expansions of Lax operators with respect to the spectral parameter, respectively. And the equation in the resulting hierarchy is integrable in Liouville sense. Further, a Darboux transformation is established for the typical equations by using gauge transformations of Lax pairs, from which the exact solutions are given.
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