Physics – Mathematical Physics
Scientific paper
2012-02-19
Physics
Mathematical Physics
11 pages, 5 figures
Scientific paper
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
Kanki Masataka
Mada Jun
Tokihiro Tetsuji
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