Propagating wave patterns and "peakons" of the Davey-Stewartson system

被引：28
|
作者：
Chow, KW [1 ]
Lou, SY
机构：
[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 27卷 / 02期
关键词：
D O I：
10.1016/j.chaos.2005.04.036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：561 / 567
页数：7
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