Commutativity of Pfaffianization and Bäcklund transformation: The semi-discrete Toda equation

Jun-Xiao Zhao

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 74, issue 4, 388-396

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.

Keywords: Commutativity; Pfaffianization; Bäcklund transformation; Pfaffian; Casorati determinant; Soliton solution (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:74:y:2007:i:4:p:388-396

DOI: 10.1016/j.matcom.2006.10.031

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