Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1141092 | Mathematics and Computers in Simulation | 2007 | 9 Pages |
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.
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Authors
Jun-Xiao Zhao,