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Some asymptotic relations for solutions of the Korteweg - De Vries equation

✍ Scribed by V.I. Karpman


Publisher
Elsevier Science
Year
1968
Tongue
English
Weight
134 KB
Volume
26
Category
Article
ISSN
0375-9601

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Asymptotic behaviour of solutions of the
✍ G. Scharf; W.F. Wreszinski πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 966 KB

A rigorous proof that any solution of the Kortewegde Vries equation with smooth initial data decaying sufliciently fast at infinity tends as t --$ kcci to a pure N-soliton solution at a spatially uniform rate of 1 II-'E is provided. It is also proved that the solitonless solutions have a spatially u