The long-time behavior of solitary waves for the weakly damped KdV equation

Abstract In this paper, we first introduce the long-time behavior stability of solitary waves for the weakly damped Korteweg–de Vries equation. More concretely, solutions of the dissipative system with the initial values near a c 0 $c_{0}$ -speed solitary wave, are approximated by a long curve on th...

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Bibliographic Details
Published in:Boundary Value Problems
Main Authors: Yansheng Zhong, Riguang Wu
Format: Article
Language:English
Published: SpringerOpen 2023-01-01
Subjects:
Online Access:https://doi.org/10.1186/s13661-022-01690-2