Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1995-11-07
Nonlinear Sciences
Exactly Solvable and Integrable Systems
11 pages, LaTeX file, no figures
Scientific paper
10.1016/0375-9601(95)00865-9
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 $\eta-$algorithm is nothing but the discrete
KdV equation. In addition, one generalized version of the $\rho-$algorithm is
considered to be integrable discretization of the cylindrical KdV equation.
Nagai Atsushi
Satsuma Junkichi
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