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Chaotic behaviour of solutions to a perturbed Korteweg—de Vries equation

✍ Scribed by Blyuss, K.B.


Book ID
122477815
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
413 KB
Volume
49
Category
Article
ISSN
0034-4877

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Asymptotic behaviour of solutions of the
✍ G. Scharf; W.F. Wreszinski 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 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