1202.4123 (Masataka Kanki et al.)

Soliton solutions of a generalized discrete KdV equation    [PDF]

Masataka Kanki, Jun Mada, Tetsuji Tokihiro

We investigate the multi-soliton solutions to the generalized discrete KdV
equation. In some cases a soliton with smaller amplitude moves faster than that
with larger amplitude unlike the soliton solutions of the KdV equation. This
phenomenon is intuitively understood from its ultradiscrete limit, where the
system turns to the box ball system with a carrier.
KEYWORDS: soliton, integrable equation, nonlinear system, discrete KdV
equation, cellular automaton

View original: http://arxiv.org/abs/1202.4123