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Conference Paper: A coupled system of long wave - short waves with a mismatch in group velocities
Title | A coupled system of long wave - short waves with a mismatch in group velocities |
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Authors | |
Keywords | Physics |
Issue Date | 2004 |
Publisher | American Physical Society. The Journal's web site is located at https://www.aps.org/meetings/baps/index.cfm |
Citation | The 57th Annual Meeting of the Division of Fluid Dynamics, Seattle, WA., 21-23 November 2004. In Bulletin of the American Physical Society, 2004 How to Cite? |
Abstract | A resonance among long and short waves will occur if the group velocity of the short wave matches the phase velocity of the long wave. A weakly nonlinear system of long and two (or more) short waves will be studied. A slight detuning, or a difference in the group velocities, will be present. Coupled, nonlinear evolution equations will be derived for a realistic oceanic stratification profile. An exact 1-soliton solution is derived by the Hirota bilinear method for special cases of the parameters. The evolution of an arbitrary solitary pulse will be studied by numerical methods. The Hopscotch method, with both explicit and implicit components, will be employed. |
Description | Session EM: Waves II, Abstract no. EM.004 |
Persistent Identifier | http://hdl.handle.net/10722/57140 |
ISSN |
DC Field | Value | Language |
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dc.contributor.author | Chow, KW | en_HK |
dc.contributor.author | Poon, CK | en_HK |
dc.contributor.author | Zhang, D | en_HK |
dc.date.accessioned | 2010-04-12T01:27:07Z | - |
dc.date.available | 2010-04-12T01:27:07Z | - |
dc.date.issued | 2004 | en_HK |
dc.identifier.citation | The 57th Annual Meeting of the Division of Fluid Dynamics, Seattle, WA., 21-23 November 2004. In Bulletin of the American Physical Society, 2004 | en_HK |
dc.identifier.issn | 0003-0503 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/57140 | - |
dc.description | Session EM: Waves II, Abstract no. EM.004 | en_HK |
dc.description.abstract | A resonance among long and short waves will occur if the group velocity of the short wave matches the phase velocity of the long wave. A weakly nonlinear system of long and two (or more) short waves will be studied. A slight detuning, or a difference in the group velocities, will be present. Coupled, nonlinear evolution equations will be derived for a realistic oceanic stratification profile. An exact 1-soliton solution is derived by the Hirota bilinear method for special cases of the parameters. The evolution of an arbitrary solitary pulse will be studied by numerical methods. The Hopscotch method, with both explicit and implicit components, will be employed. | - |
dc.language | eng | en_HK |
dc.publisher | American Physical Society. The Journal's web site is located at https://www.aps.org/meetings/baps/index.cfm | en_HK |
dc.relation.ispartof | Bulletin of the American Physical Society | - |
dc.rights | Copyright 2004 by The American Physical Society. | en_HK |
dc.subject | Physics | en_HK |
dc.title | A coupled system of long wave - short waves with a mismatch in group velocities | en_HK |
dc.type | Conference_Paper | en_HK |
dc.identifier.email | Chow, KW: kwchow@hkusua.hku.hk | en_HK |
dc.identifier.email | Poon, CK: kenpoon@graduate.hku.hk | en_HK |
dc.identifier.email | Zhang, D: dzhang@hkucc.hku.hk | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.hkuros | 108788 | - |
dc.identifier.issnl | 0003-0503 | - |