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| Titel |
Multi-rogue waves solutions to the focusing NLS equation and the KP-I equation |
| VerfasserIn |
P. Dubard, V. B. Matveev |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1561-8633
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| Digitales Dokument |
URL |
| Erschienen |
In: Natural Hazards and Earth System Science ; 11, no. 3 ; Nr. 11, no. 3 (2011-03-03), S.667-672 |
| Datensatznummer |
250009249
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| Publikation (Nr.) |
 copernicus.org/nhess-11-667-2011.pdf |
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| Zusammenfassung |
| We construct a multi-parametric family of quasi-rational solutions to the
focusing NLS equation, presenting a profile of multiple rogue waves. These
solutions have also been used by us to construct a large family of smooth, real
localized rational solutions of the KP-I equation quite different from
the multi-lumps solutions first constructed in Bordag et al. (1977). The physical
relevance of both equations is very large. From the point of view of
geosciences,the focusing NLS equation is relevant to the description of surface waves
in deep water, and the KP-I equation occurs in the description of capillary
gravitational waves on a liquid surface, but also when one considers
magneto-acoustic waves in plasma (Zhdanov,
1984) etc. In addition, there are plenty of equations of physical importance, having their origin in fiber
optics, hydrodynamics, plasma physics and many other areas, which are gauge
equivalent to the NLS equation or to the KP-I equation. Therefore our
results can be easily extended to a large number of systems of physical
interest to be discussed in separate publications. |
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