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Conference Paper: Interactions of breathers and solitons of the extended Korteweg de Vries equation

TitleInteractions of breathers and solitons of the extended Korteweg de Vries equation
Authors
Issue Date2005
PublisherAmerican Physical Society. The Journal's web site is located at https://www.aps.org/meetings/baps/index.cfm
Citation
The 58th Annual Meeting of the Division of Fluid Dynamics, Chicago, IL., 20-22 November 2005. In Bulletin of the American Physical Society, 2005 How to Cite?
AbstractA popular model for the evolution of weakly nonlinear, weakly dispersive waves in the ocean is the extended Korteweg -- de Vries equation (eKdV), which incorporates both quadratic and cubic nonlinearities. The case of positive cubic nonlinearity allows for both solitons of elevation and depression, as well as breathers (pulsating modes). Multi-soliton solutions are computed analytically, and will yield expressions for breather-soliton interactions. Both the soliton and breather will retain their identities after interactions, but suffer phase shifts. However, the details of the interaction process will depend on the polarity of the interacting soliton, and have been investigated by a computer algebra software. This highly time dependent motion during the interaction process is important in nonlinear science and physical oceanography. As the dynamics of the current and an evolving internal oceanic tide can be modeled by eKdV, this knowledge is relevant to the temporal and spatial variability observed in the oceanic internal soliton fields.
DescriptionSession HL: Waves II, Abstract no. HL.00002
Persistent Identifierhttp://hdl.handle.net/10722/57139
ISSN

 

DC FieldValueLanguage
dc.contributor.authorShek, CMen_HK
dc.contributor.authorGrimshaw, RHJen_HK
dc.contributor.authorDing, Een_HK
dc.contributor.authorChow, KWen_HK
dc.date.accessioned2010-04-12T01:27:05Z-
dc.date.available2010-04-12T01:27:05Z-
dc.date.issued2005en_HK
dc.identifier.citationThe 58th Annual Meeting of the Division of Fluid Dynamics, Chicago, IL., 20-22 November 2005. In Bulletin of the American Physical Society, 2005en_HK
dc.identifier.issn0003-0503en_HK
dc.identifier.urihttp://hdl.handle.net/10722/57139-
dc.descriptionSession HL: Waves II, Abstract no. HL.00002en_HK
dc.description.abstractA popular model for the evolution of weakly nonlinear, weakly dispersive waves in the ocean is the extended Korteweg -- de Vries equation (eKdV), which incorporates both quadratic and cubic nonlinearities. The case of positive cubic nonlinearity allows for both solitons of elevation and depression, as well as breathers (pulsating modes). Multi-soliton solutions are computed analytically, and will yield expressions for breather-soliton interactions. Both the soliton and breather will retain their identities after interactions, but suffer phase shifts. However, the details of the interaction process will depend on the polarity of the interacting soliton, and have been investigated by a computer algebra software. This highly time dependent motion during the interaction process is important in nonlinear science and physical oceanography. As the dynamics of the current and an evolving internal oceanic tide can be modeled by eKdV, this knowledge is relevant to the temporal and spatial variability observed in the oceanic internal soliton fields.-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at https://www.aps.org/meetings/baps/index.cfmen_HK
dc.relation.ispartofBulletin of the American Physical Society-
dc.rightsCopyright 2005 by The American Physical Society.en_HK
dc.titleInteractions of breathers and solitons of the extended Korteweg de Vries equationen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailDing, E: ding@hkusua.hku.hken_HK
dc.identifier.emailChow, KW: kwchow@hkusua.hku.hken_HK
dc.identifier.authorityChow, KW=rp00112-
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.hkuros108798-

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