Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
756120 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 6 Pages |
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
Authors
Xin-Yue Li, Qiu-lan Zhao,