Temporal evolutions and stationary waves for dissipative Benjamin–Ono equation

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. The...

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Bibliographic Details
Published inPhysica. D Vol. 139; no. 3; pp. 301 - 318
Main Authors Feng, Bao-Feng, Kawahara, Takuji
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.05.2000
Subjects
Dissipative Benjamin–Ono equation
Multi-hump stationary waves
Stability property
Temporal evolution
Dissipative Benjamin–Ono equation
03.40.Kf
Stability property
Temporal evolution
Multi-hump stationary waves
05.45
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Summary: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.
ISSN:0167-2789
1872-8022
DOI:10.1016/S0167-2789(99)00227-4