394 citations · 2.8k across the 62 of their papers we have counts for
3 papers · 1 filter
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…
Casorati Determinant Solution for the Relativistic Toda Lattice Equation
Yasuhiro Ohta, Kenji Kajiwara, Junkichi Satsuma
The relativistic Toda lattice equation is decomposed into three Toda systems, the Toda lattice itself, Bäcklund transformation of Toda lattice and discrete time Toda lattice. It is…
q-Discrete Toda Molecule Equation
Kenji Kajiwara, Yasuhiro Ohta, Junkichi Satsuma
A q-discrete version of the two-dimensional Toda molecule equation is proposed through the direct method. Its solution, Bäcklund transformation and Lax pair are discussed. The redu…