Evgenii Ya. Khruslov, Holger Stephan, “Splitting of some non-localized solutions of the Korteweg–de Vries equation into solitons”, Mat. Fiz. Anal. Geom., 1998, Volume 5, Number 1/2,Pages <nobr>49

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Splitting of some non-localized solutions of the Korteweg–de Vries equation into solitons

Evgenii Ya. Khruslov^a, Holger Stephan^b

^a Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, 47 Lenin Ave., 310164, Kharkov, Ukraine
^b Weierstrass Institute for Applied Mathematics and Stochastics, 39 Mohrenstrasse, 10117, Berlin, Germany

Abstract: The long-time asymptotic behaviour of non-localized solutions of Korteweg–de Vries (KdV) equation is studied and is proved that these solutions split in infinite sequence of solitons.

Received: 07.07.1996

Language: English