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Asymptotic behavior of the solutions of the Kadomtsev-Pyatviashvili equation (two-dimensional Korteweg-De Vries equation)

โœ Scribed by S.V. Manakov; P.M. Santini; L.A. Takhtajan


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
163 KB
Volume
75
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