Casorati determinant solutions for the discrete Painleve-II equation

K. Kajiwara, Y. Ohta, J. Satsuma, B. Grammaticos, A. Ramani

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


We present a class of solutions to the discrete Painleve-II equation for particular values of its parameters. It is shown that these solutions can be expressed in terms of Casorati determinants whose entries are discrete Airy functions. The analogy between the tau function for the discrete PII and that of the discrete Toda molecule equation is pointed out.

Original languageEnglish
Article number030
Pages (from-to)915-922
Number of pages8
JournalJournal of Physics A: Mathematical and General
Issue number3
Publication statusPublished - 1994
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


Dive into the research topics of 'Casorati determinant solutions for the discrete Painleve-II equation'. Together they form a unique fingerprint.

Cite this