Abstract
AbstractIn this paper we obtain the following stability result for periodic multi-solitons of the KdV equation: We prove that under any given semilinear Hamiltonian perturbation of small size $$\varepsilon > 0$$
ε
>
0
, a large class of periodic multi-solitons of the KdV equation, including ones of large amplitude, are orbitally stable for a time interval of length at least $$O(\varepsilon ^{-2})$$
O
(
ε
-
2
)
. To the best of our knowledge, this is the first stability result of such type for periodic multi-solitons of large size of an integrable PDE.
Funder
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
INDAM-GNFM.
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Cited by
6 articles.
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