Article ID Journal Published Year Pages File Type
1141092 Mathematics and Computers in Simulation 2007 9 Pages PDF
Abstract

We present a modified version of the semi-discrete Toda lattice, which also serves as a Bäcklund transformation for the semi-discrete Toda lattice, and we give N-soliton solution of this modified semi-discrete Toda equation in terms of Casorati determinants. Commutativity of Pfaffianization and Bäcklund transformations is generalized to the semi-discrete Toda lattice, which has enabled us to construct Bäcklund transforation formulae for a coupled semi-discrete Toda lattice.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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