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 language | English |
|---|---|
| Article number | 030 |
| Pages (from-to) | 915-922 |
| Number of pages | 8 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Dec 1 1994 |
| Externally published | Yes |
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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 journal › Article
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TY - JOUR
T1 - Casorati determinant solutions for the discrete Painleve-II equation
AU - Kajiwara, K.
AU - Ohta, Y.
AU - Satsuma, J.
AU - Grammaticos, B.
AU - Ramani, A.
PY - 1994/12/1
Y1 - 1994/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=21344482377&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=21344482377&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/27/3/030
DO - 10.1088/0305-4470/27/3/030
M3 - Article
AN - SCOPUS:21344482377
VL - 27
SP - 915
EP - 922
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 3
M1 - 030
ER -