Temporal evolutions and stationary waves for dissipative Benjamin-Ono equation

Authors
Feng, BF Kawahara, T
Citation
Bf. Feng et T. Kawahara, Temporal evolutions and stationary waves for dissipative Benjamin-Ono equation, PHYSICA D, 139(3-4), 2000, pp. 301-318
Citations number
13
Categorie Soggetti
Physics
Journal title
PHYSICA D
ISSN journal
01672789 → ACNP
Volume
139
Issue
3-4
Year of publication
2000
Pages
301 - 318
Database
ISI
SICI code
0167-2789(20000515)139:3-4<301:TEASWF>2.0.ZU;2-S
Abstract
Initial value problems as well as stationary solitary and periodic waves ar e investigated for dissipative Benjamin-Ono (DBO) equation. Multi-hump stat ionary waves and their structures are identified numerically and the stabil ity regions of stationary periodic waves are also examined numerically. The se results elucidate a close relation between irregular behaviours in the i nitial value problem and the multiplicity of stationary waves. (C) 2000 Els evier Science B.V. All rights reserved.