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nlin.SIFeb 6, 2008
25
citations (OpenAlex)
authors
  • Kenji Kajiwara
  • Yasuhiro Ohta
institutions
  • Kobe University
  • Kyushu University
arXiv abstractPDF
paper

Bilinearization and Casorati determinant solution to the non-autonomous discrete KdV equation

arXiv:0802.0757 · doi:10.1143/JPSJ.77.054004

Abstract

Casorati determinant solution to the non-autonomous discrete KdV equation is constructed by using the bilinear formalism. We present three different bilinear formulations which have different origins.

References in corpus (3)

  • Elliptic solutions to difference non-linear equations and related many-body problems
  • q-Discrete Toda Molecule Equation
  • Two-dimensional soliton cellular automaton of deautonomized Toda-type

Cited by in corpus (10)

  • Integrable discretizations of the short pulse equation
  • Soliton Solutions for ABS Lattice Equations II: Casoratians and Bilinearization
  • Darboux and binary Darboux transformations for discrete integrable systems 1. Discrete potential KdV equation
  • A multidimensionally consistent version of Hirota's discrete KdV equation
  • On the singularity structure of the discrete KdV equation
  • Full-deautonomisation of a lattice equation
  • A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms
  • Discrete Painlevé transcendent solutions to the multiplicative type discrete KdV equations
  • Solutions to the ultradiscrete KP hierarchy and its reductions
  • Properties of the Non-Autonomous Lattice Sine-Gordon Equation: Consistency around a Broken Cube Property
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