Simulation of a coupled system of long wave - Short waves with a slight detuning in group velocities
The resonances among long and short waves have been studied intensively. The focus of this paper is on flow configurations with two short wave groups with slight detuning in group velocities. This detuning effect will introduce a much richer set of dynamics as the mismatch in group velocities will h...
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ftunivhongkonghu:oai:hub.hku.hk:10722/158951 2023-05-15T14:22:43+02:00 Simulation of a coupled system of long wave - Short waves with a slight detuning in group velocities Poon, CK Lai, DWC Chow, KW 2005 http://hdl.handle.net/10722/158951 eng eng Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE http://www.scopus.com/mlt/select.url?eid=2-s2.0-27744464714&selection=ref&src=s&origin=recordpage Proceedings Of The International Conference On Offshore Mechanics And Arctic Engineering - Omae, 2005, v. 3, p. 945-949 949 eid_2-s2.0-27744464714 945 http://hdl.handle.net/10722/158951 3 Conference_Paper 2005 ftunivhongkonghu 2023-01-14T15:46:44Z The resonances among long and short waves have been studied intensively. The focus of this paper is on flow configurations with two short wave groups with slight detuning in group velocities. This detuning effect will introduce a much richer set of dynamics as the mismatch in group velocities will have profound effects on the motion of pulses. Exact solitary waves are calculated for the coupled set of nonlinear evolution equations by the Hirota bilinear transform. The Hopscotch method is applied to solve the set of equations numerically. Physically, the goal is to study the effects of mismatch in group velocities and the initial phase difference of arbitrary solitary pulses between wave guides. The outcome will depend on the strength of the group velocity differences, initial amplitudes and phase differences. Copyright © 2005 by ASME. link_to_subscribed_fulltext Conference Object Arctic University of Hong Kong: HKU Scholars Hub |
institution |
Open Polar |
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University of Hong Kong: HKU Scholars Hub |
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ftunivhongkonghu |
language |
English |
description |
The resonances among long and short waves have been studied intensively. The focus of this paper is on flow configurations with two short wave groups with slight detuning in group velocities. This detuning effect will introduce a much richer set of dynamics as the mismatch in group velocities will have profound effects on the motion of pulses. Exact solitary waves are calculated for the coupled set of nonlinear evolution equations by the Hirota bilinear transform. The Hopscotch method is applied to solve the set of equations numerically. Physically, the goal is to study the effects of mismatch in group velocities and the initial phase difference of arbitrary solitary pulses between wave guides. The outcome will depend on the strength of the group velocity differences, initial amplitudes and phase differences. Copyright © 2005 by ASME. link_to_subscribed_fulltext |
format |
Conference Object |
author |
Poon, CK Lai, DWC Chow, KW |
spellingShingle |
Poon, CK Lai, DWC Chow, KW Simulation of a coupled system of long wave - Short waves with a slight detuning in group velocities |
author_facet |
Poon, CK Lai, DWC Chow, KW |
author_sort |
Poon, CK |
title |
Simulation of a coupled system of long wave - Short waves with a slight detuning in group velocities |
title_short |
Simulation of a coupled system of long wave - Short waves with a slight detuning in group velocities |
title_full |
Simulation of a coupled system of long wave - Short waves with a slight detuning in group velocities |
title_fullStr |
Simulation of a coupled system of long wave - Short waves with a slight detuning in group velocities |
title_full_unstemmed |
Simulation of a coupled system of long wave - Short waves with a slight detuning in group velocities |
title_sort |
simulation of a coupled system of long wave - short waves with a slight detuning in group velocities |
publishDate |
2005 |
url |
http://hdl.handle.net/10722/158951 |
genre |
Arctic |
genre_facet |
Arctic |
op_relation |
Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE http://www.scopus.com/mlt/select.url?eid=2-s2.0-27744464714&selection=ref&src=s&origin=recordpage Proceedings Of The International Conference On Offshore Mechanics And Arctic Engineering - Omae, 2005, v. 3, p. 945-949 949 eid_2-s2.0-27744464714 945 http://hdl.handle.net/10722/158951 3 |
_version_ |
1766295245947928576 |