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Exact solutions of the Korteweg-de Vries equation with a self-consistent source

โœ Scribed by V.K. Mel'nikov


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
346 KB
Volume
128
Category
Article
ISSN
0375-9601

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Asymptotic behaviour of solutions of the
โœ G. Scharf; W.F. Wreszinski ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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