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 determinants whose… (More)

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 reduction to the… (More)

One of the well-known convergence acceleration methods, the ε-algorithm is investigated from the viewpoint of the Toda molecule equation. It is shown that the error caused by the algorithm is… (More)

A class of special solutions are constructed in an intuitive way for the ultradiscrete analog of q-Painlevé II (q-PII) equation. The solutions are classified into four groups depending on the… (More)

One of the well-known convergence acceleration methods, the ε-algorithm is investigated from the viewpoint of the Toda molecule equation. It is shown that the error caused by the algorithm is… (More)

In this paper, we present a new hierarchy which includes the intermediate long wave (ILW) equation at the lowest order. This hierarchy is thought to be a novel reduction of the 1st modified KP type… (More)

The Blood coagulation system was converted to a mathematical model which was described using differential equations. The calculated output patterns of the mathematical model against various input… (More)