153 citations · 399 across the 15 of their papers we have counts for
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Two-dimensional soliton cellular automaton of deautonomized Toda-type
A. Nagai, T. Tokihiro, J. Satsuma +2
A deautonomized version of the two-dimensional Toda lattice equation is presented. Its ultra-discrete analogue and soliton solutions are also discussed.
Discrete soliton equations and convergence acceleration algorithms
Atsushi Nagai, Junkichi Satsuma
Some of the well-known convergence acceleration algorithms, when viewed as two-variable difference equations, are equivalent to discrete soliton equations. It is shown that the $η-…
Bilinearization of a Generalized Derivative Nonlinear Schrödinger equation
Saburo Kakei, Narimasa Sasa, Junkichi Satsuma
A generalized derivative nonlinear Schrödinger equation, \ii q_t + q_{xx} + 2\ii γ|q|^2 q_x + 2\ii (γ-1)q^2 q^*_x + (γ-1)(γ-2)|q|^4 q = 0 , is studied by means of Hirota's bilinear…
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…
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…