Affiliation:
1. 1Department of Mathematics, Shanghai University, Shanghai 200444, PR China
Abstract
AbstractBy considering a new discrete isospectral eigenvalue 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.
Subject
Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics
Reference62 articles.
1. A hierarchy of new discrete integrable equation and its Hamiltonian structure;Chin. Phys,2004
2. Backlund transformation for the BC-type Toda lattice;SIGMA,2007
3. Backlund transformation for the BC-type Toda lattice;SIGMA,2007
4. A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice;J. Phys. A Math. Gen,2004
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