64 citations · 239 across the 16 of their papers we have counts for
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Continuous vacua in bilinear soliton equations
J. Hietarinta, A. Ramani, B. Grammaticos
We discuss the freedom in the background field (vacuum) on top of which the solitons are built. If the Hirota bilinear form of a soliton equation is given by $A(D_{\vec x})\bd GF=0…
Linearization And Solutions Of The Discrete Painlevé-III Equation
B. Grammaticos, F. W. Nijhoff, V. Papageorgiou +1
We present particular solutions of the discrete Painlevé III (d-P) equation of rational and special function (Bessel) type. These solutions allow us to establish a close…
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…