Abstract
The rational solutions for the discrete Painlevé II equation are constructed based on the bilinear formalism. It is shown that they are expressed by a determinant whose entries are given by the Laguerre polynomials. The continuous limit to the Devisme polynomial representation of the rational solutions for the Painlevé II equation is also discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 189-199 |
| Number of pages | 11 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 232 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - Jul 28 1997 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
Rational solutions for the discrete Painlevé II equation. / Kajiwara, Kenji; Yamamoto, Kazushi; Ohta, Yasuhiro.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 232, No. 3-4, 28.07.1997, p. 189-199.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Rational solutions for the discrete Painlevé II equation
AU - Kajiwara, Kenji
AU - Yamamoto, Kazushi
AU - Ohta, Yasuhiro
PY - 1997/7/28
Y1 - 1997/7/28
N2 - The rational solutions for the discrete Painlevé II equation are constructed based on the bilinear formalism. It is shown that they are expressed by a determinant whose entries are given by the Laguerre polynomials. The continuous limit to the Devisme polynomial representation of the rational solutions for the Painlevé II equation is also discussed.
AB - The rational solutions for the discrete Painlevé II equation are constructed based on the bilinear formalism. It is shown that they are expressed by a determinant whose entries are given by the Laguerre polynomials. The continuous limit to the Devisme polynomial representation of the rational solutions for the Painlevé II equation is also discussed.
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UR - http://www.scopus.com/inward/citedby.url?scp=0040128633&partnerID=8YFLogxK
U2 - 10.1016/S0375-9601(97)00397-6
DO - 10.1016/S0375-9601(97)00397-6
M3 - Article
VL - 232
SP - 189
EP - 199
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 3-4
ER -