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Article: On doubly periodic standing wave solutions of the coupled Higgs field equation

TitleOn doubly periodic standing wave solutions of the coupled Higgs field equation
Authors
Issue Date2012
PublisherBlackwell Publishing, Inc. The Journal's web site is located at http://www.blackwellpublishing.com/journals/SAPM
Citation
Studies In Applied Mathematics, 2012, v. 128 n. 1, p. 86-105 How to Cite?
AbstractIn this paper, we derive a class of doubly periodic standing wave solutions for a coupled Higgs field equation by employing the Hirota bilinear method and theta function identities. Such solutions are expressed in terms of theta functions with variable separation form. Moreover, it is shown that these solutions can be converted into Jacobi elliptic function representations, and their long-wave limit yields collision of dark solitons. In comparing with known solutions of the canonical evolution equation, three new aspects will be developed in this paper. First, the periods in the spatial and temporal directions, measured in terms of the theta function parameters τ and τ 1, are independent of each other, quite unlike most similar solutions found earlier in the literature. Second, the doubly periodic wave solutions possess two families of the local maxima, whose locations and types are then examined in detail. Third, we obtain new doubly periodic standing wave solutions for the Davey-Stewartson equation through its similarity transformation to the coupled Higgs field equation. © 2011 by the Massachusetts Institute of Technology.
Persistent Identifierhttp://hdl.handle.net/10722/137332
ISSN
2015 Impact Factor: 1.364
2015 SCImago Journal Rankings: 0.739
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants CouncilHKU 7038/07P
HKU 7118/07E
HUK 7120/08E
National Science Foundation of China10971031
Shanghai Shuguang Tracking Project08GG01
Funding Information:

The work was supported by grants from the Research Grants Council through contracts HKU 7038/07P, HKU 7118/07E and HUK 7120/08E, as well as the National Science Foundation of China (No. 10971031) and Shanghai Shuguang Tracking Project (No. 08GG01).

References

 

DC FieldValueLanguage
dc.contributor.authorFan, EGen_HK
dc.contributor.authorChow, KWen_HK
dc.contributor.authorLi, JHen_HK
dc.date.accessioned2011-08-26T14:23:27Z-
dc.date.available2011-08-26T14:23:27Z-
dc.date.issued2012en_HK
dc.identifier.citationStudies In Applied Mathematics, 2012, v. 128 n. 1, p. 86-105en_HK
dc.identifier.issn0022-2526en_HK
dc.identifier.urihttp://hdl.handle.net/10722/137332-
dc.description.abstractIn this paper, we derive a class of doubly periodic standing wave solutions for a coupled Higgs field equation by employing the Hirota bilinear method and theta function identities. Such solutions are expressed in terms of theta functions with variable separation form. Moreover, it is shown that these solutions can be converted into Jacobi elliptic function representations, and their long-wave limit yields collision of dark solitons. In comparing with known solutions of the canonical evolution equation, three new aspects will be developed in this paper. First, the periods in the spatial and temporal directions, measured in terms of the theta function parameters τ and τ 1, are independent of each other, quite unlike most similar solutions found earlier in the literature. Second, the doubly periodic wave solutions possess two families of the local maxima, whose locations and types are then examined in detail. Third, we obtain new doubly periodic standing wave solutions for the Davey-Stewartson equation through its similarity transformation to the coupled Higgs field equation. © 2011 by the Massachusetts Institute of Technology.en_HK
dc.languageengen_US
dc.publisherBlackwell Publishing, Inc. The Journal's web site is located at http://www.blackwellpublishing.com/journals/SAPMen_HK
dc.relation.ispartofStudies in Applied Mathematicsen_HK
dc.titleOn doubly periodic standing wave solutions of the coupled Higgs field equationen_HK
dc.typeArticleen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturelink_to_OA_fulltext-
dc.identifier.doi10.1111/j.1467-9590.2011.00531.xen_HK
dc.identifier.scopuseid_2-s2.0-84856209375en_HK
dc.identifier.hkuros189598en_US
dc.identifier.hkuros200241-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84856209375&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume128en_HK
dc.identifier.issue1en_HK
dc.identifier.spage86en_HK
dc.identifier.epage105en_HK
dc.identifier.isiWOS:000299333300005-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridFan, EG=7006443499en_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.scopusauthoridLi, JH=43361447900en_HK

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