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solv-int1994★ 26 cited
Casorati Determinant Solutions for the Discrete Painlevé III Equation
Kenji Kajiwara, Yasuhiro Ohta, Junkichi Satsuma
The discrete Painlevé III equation is investigated based on the bilinear formalism. It is shown that it admits the solutions expressed by the Casorati determinant whose entries are…
solv-int1993★ 49 cited
Casorati Determinant Solutions for the Discrete Painlevé-II Equation
Kenji Kajiwara, Yasuhiro Ohta, Junkichi Satsuma +2
We present a class of solutions to the discrete Painlevé-II equation for particular values of its parameters. It is shown that these solutions can be expressed in terms of Casorati…