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

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  • Zhao, Jun-Xiao

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.

Suggested Citation

  • Zhao, Jun-Xiao, 2007. "Commutativity of Pfaffianization and Bäcklund transformation: The semi-discrete Toda equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(4), pages 388-396.
    • Handle: RePEc:eee:matcom:v:74:y:2007:i:4:p:388-396
    DOI: 10.1016/j.matcom.2006.10.031
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