Origin of the persistent oscillations of solitary waves in nonlinear quadratic media

被引：68
|
作者：
Etrich, C
Peschel, U
Lederer, F
Malomed, BA
Kivshar, YS
机构：
[1] TEL AVIV UNIV,SCH MATH SCI,IL-69978 TEL AVIV,ISRAEL
[2] AUSTRALIAN NATL UNIV,AUSTRALIAN PHOTON COOPERAT RES CTR,CANBERRA,ACT 0200,AUSTRALIA
来源：
PHYSICAL REVIEW E | 1996年 / 54卷 / 04期
关键词：
D O I：
10.1103/PhysRevE.54.4321
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We reveal the origin of the persistent oscillations of solitary waves in a quadratically nonlinear medium. It is found that the oscillations are closely correlated to a nontrivial discrete eigenmode of the corresponding linear eigenvalue problem. In addition to this discrete eigenmode a quasibound mode, weakly coupled to the continuous spectrum, is identified. This gives rise to a long-living beating of the solitary wave amplitude.
引用
收藏
页码：4321 / 4324
页数：4
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