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The dynamics of interacting solitons for the Korteweg-de Vries equation

Olejniczak M., Błaszak M.

Vibrations in Physical Systems

2012

Vol. 25

311--316

The aim of the paper is to give a new insight into the interaction of soliton particles and their dynamics. We introduce the definition of a soliton, soliton particles (interacting solitons) and a theorem about the decomposition of multi-soliton solutions to soliton particles. In the paper we also give a theorem state that the motion of maxima of interacting solitons (in a special case) are roots of fourth order polynomial.