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Bilinear Structure and Exact Solutions of the Discrete Painleve I Equation

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 نشر من قبل Kenji Kajiwara
 تاريخ النشر 1994
  مجال البحث
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Bilinear structure for the discrete Painleve I equation is investigated. The solution on semi-infinite lattice is given in terms of the Casorati determinant of discrete Airy function. Based on this fact, the discrete Painleve I equation is naturally extended to a discrete coupled system. Corresponding matrix model is also mentioned.



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