Asymptotic behaviour of solutions of the Korteweg-de Vries equation

We prove rigorously that any solution of the KdV equation, with smooth initial data decaying sufficiently fast at infinity, tends as t → ∞ to a pure N-soliton solution at a spatially uniform rate of t −1 3 .

Saved in:
Bibliographic Details
Published in:Physics letters. A 1983-12, Vol.99 (6), p.275-278
Main Authors: Scharf, G., Wreszinski, W.F.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We prove rigorously that any solution of the KdV equation, with smooth initial data decaying sufficiently fast at infinity, tends as t → ∞ to a pure N-soliton solution at a spatially uniform rate of t −1 3 .
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(83)90883-6