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 |
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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 - 1994 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)