Casorati determinant solutions for the discrete Painleve-II equation

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

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

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
Volume27
Issue number3
DOIs
Publication statusPublished - Dec 1 1994
Externally publishedYes

Fingerprint

Painlevé
determinants
Determinant
discrete functions
Airy function
entry
Airy Functions
Molecules
Tau Functions
Analogy
molecules

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Casorati determinant solutions for the discrete Painleve-II equation. / Kajiwara, K.; Ohta, Y.; Satsuma, J.; Grammaticos, B.; Ramani, A.

In: Journal of Physics A: Mathematical and General, Vol. 27, No. 3, 030, 01.12.1994, p. 915-922.

Research output: Contribution to journalArticle

Kajiwara, K. ; Ohta, Y. ; Satsuma, J. ; Grammaticos, B. ; Ramani, A. / Casorati determinant solutions for the discrete Painleve-II equation. In: Journal of Physics A: Mathematical and General. 1994 ; Vol. 27, No. 3. pp. 915-922.
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