Bilinearization and special solutions to the discrete Schwarzian KdV equation

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Abstract

Various solutions to the discrete Schwarzian KdV equation are discussed. We first derive the bilinear difference equations of Hirota type of the discrete Schwarzian KP equation, which is decomposed into three discrete two-dimensional Toda lattice equations. We then construct two kinds of solutions in terms of the Casorati determinant. We derive the discrete Schwarzian KdV equation on an inhomogeneous lattice and its solutions by a reduction process. We finally discuss the solutions in terms of the τ functions of some Painlevé systems.

Journal

  • JMI : journal of math-for-industry

    JMI : journal of math-for-industry 3(-), 53-62, 2011

    Faculty of Mathematics, Kyushu University

Codes

  • NII Article ID (NAID)
    40019161209
  • NII NACSIS-CAT ID (NCID)
    AA12444018
  • Text Lang
    ENG
  • Article Type
    journal article
  • Journal Type
    大学紀要
  • ISSN
    1884-4774
  • NDL Article ID
    023438886
  • NDL Call No.
    Z63-D421
  • Data Source
    NDL  IR 
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