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The Darboux transformation associated with two-parameter lattice soliton equation

✍ Scribed by Xin-Yue Li; Qiu-lan Zhao

Book ID: 104012429
Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 183 KB
Volume: 14
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2008.11.012

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✦ Synopsis

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.

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