Temporal evolutions and stationary waves for dissipative Benjamin-Ono equation

被引：9

作者：

Feng, BF ^{[1
]}

Kawahara, T ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Engn, Dept Aeronaut & Astronaut, Kyoto 6068501, Japan

来源：

PHYSICA D | 2000年 / 139卷 / 3-4期

关键词：

dissipative Benjamin-One equation; multi-hump stationary waves; temporal evolution; stability property;

D O I：

10.1016/S0167-2789(99)00227-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Initial value problems as well as stationary solitary and periodic waves are investigated for dissipative Benjamin-Ono (DBO) equation. Multi-hump stationary waves and their structures are identified numerically and the stability regions of stationary periodic waves are also examined numerically. These results elucidate a close relation between irregular behaviours in the initial value problem and the multiplicity of stationary waves. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：301 / 318

页数：18

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