Folded Solitary Waves and Foldons in the (2+1)-Dimensional Long Dispersive Wave Equation
In: Zeitschrift für Naturforschung A, Jg. 58 (2003-06-01), Heft 5-6, S. 280-284
Online
serialPeriodical
Zugriff:
By means of the Bäcklund transformation, a quite general variable separation solution of the (2+1)- dimensional long dispersive wave equation: λqt+ qxx − 2q ∫ (qr)xdy = 0, λrt− rxx + 2r ∫ (qr)xdy= 0, is derived. In addition to some types of the usual localized structures such as dromion, lumps, ring soliton and oscillated dromion, breathers soliton, fractal-dromion, peakon, compacton, fractal and chaotic soliton structures can be constructed by selecting the arbitrary single valued functions appropriately, a new class of localized coherent structures, that is the folded solitary waves and foldons, in this system are found by selecting appropriate multi-valuded functions. These structures exhibit interesting novel features not found in one-dimensions. - PACS: 03.40.Kf., 02.30.Jr, 03.65.Ge.
Titel: |
Folded Solitary Waves and Foldons in the (2+1)-Dimensional Long Dispersive Wave Equation
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Autor/in / Beteiligte Person: | Zhang, J. F. ; Lu, Z. M. ; Liu, Y. L. |
Link: | |
Zeitschrift: | Zeitschrift für Naturforschung A, Jg. 58 (2003-06-01), Heft 5-6, S. 280-284 |
Veröffentlichung: | 2003 |
Medientyp: | serialPeriodical |
ISSN: | 0932-0784 (print) ; 1865-7109 (print) |
DOI: | 10.1515/zna-2003-5-604 |
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