Casorati determinant solution for the discrete-time relativistic Toda lattice equation

Ken Ichi Maruno, Kenji Kajiwara, Masayuki Oikawa

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The discrete-time relativistic Toda lattice (dRTL) equation is investigated by using the bilinear formalism. Bilinear equations are systematically constructed with the aid of the singularity confinement method. It is shown that the dRTL equation is decomposed into the Bäcklund transformations of the discrete-time Toda lattice equation. The N-soliton solution is explicitly constructed in the form of the Casorati determinant.

Original languageEnglish
Pages (from-to)335-343
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number6
Publication statusPublished - 1998 May 11


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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