Casorati determinant solutions for the discrete Painleve-II equation

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

doi:10.1088/0305-4470/27/3/030

Casorati determinant solutions for the discrete Painleve-II equation

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

Research output: Contribution to journal › Article › peer-review

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 P_II 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	https://doi.org/10.1088/0305-4470/27/3/030
Publication status	Published - 1994
Externally published	Yes

All Science Journal Classification (ASJC) codes

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

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10.1088/0305-4470/27/3/030

Cite this

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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.",

author = "K. Kajiwara and Y. Ohta and J. Satsuma and B. Grammaticos and A. Ramani",

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AU - Grammaticos, B.

AU - Ramani, A.

PY - 1994

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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.

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Casorati determinant solutions for the discrete Painleve-II equation

Abstract

All Science Journal Classification (ASJC) codes

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