Article ID Journal Published Year Pages File Type
756120 Communications in Nonlinear Science and Numerical Simulation 2009 6 Pages PDF
Abstract

A new discrete matrix spectral problem with two arbitrary constants is introduced. The corresponding two-parameter integrable lattice soliton equation is obtained through the discrete zero curvature representation, and the resulting integrable lattice equation reduce to the Toda lattice in rational form for a special choice of the parameters. A Darboux transformation (DT) for the lattice soliton equation is constructed. As an application, an explicit solution of the two-parameter lattice soliton equation is presented.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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