Propagating wave patterns and “peakons” of the Davey–Stewartson system

K.W. Chow and S.Y. Lou

Chaos, Solitons & Fractals, 2006, vol. 27, issue 2, 561-567

Abstract: Two exact, doubly periodic, propagating wave patterns of the Davey–Stewartson system are computed analytically by a special separation of variables procedure. For the first solution there is a cluster of smaller peaks within each period. The second one consists of a rectangular array of ‘plates’ joined together by sharp edges, and is thus a kind of ‘peakons’ for this system of (2+1) (2 spatial and 1 temporal) dimensional evolution equations. A long wave limit will yield exponentially localized waves different from the conventional dromion. The stability properties and nonlinear dynamics must await further investigations.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:2:p:561-567

DOI: 10.1016/j.chaos.2005.04.036

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