FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1998, VOLUME 4, NUMBER 4, PAGES 1179-1205
L. A. Kalyakin
Abstract
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The Cauchy problem for the perturbed Korteveg--de Vries equation
with the $N$ -solitons initial data is considered. Differential
equations for the slow deformation of the parameters, namely amplitudes and
phase shifts, are derived. It is shown that
the phase shift of the slow solitons depends on the deformation of
the fast solitons. This result is interpreted as weak
interaction of the solitons with the soliton tails.
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