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Article: On doubly periodic standing wave solutions of the coupled Higgs field equation
Title | On doubly periodic standing wave solutions of the coupled Higgs field equation | ||||||||
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Authors | |||||||||
Issue Date | 2012 | ||||||||
Publisher | Blackwell 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? | ||||||||
Abstract | In 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 Identifier | http://hdl.handle.net/10722/137332 | ||||||||
ISSN | 2023 Impact Factor: 2.6 2023 SCImago Journal Rankings: 1.009 | ||||||||
ISI Accession Number ID |
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 Field | Value | Language |
---|---|---|
dc.contributor.author | Fan, EG | en_HK |
dc.contributor.author | Chow, KW | en_HK |
dc.contributor.author | Li, JH | en_HK |
dc.date.accessioned | 2011-08-26T14:23:27Z | - |
dc.date.available | 2011-08-26T14:23:27Z | - |
dc.date.issued | 2012 | en_HK |
dc.identifier.citation | Studies In Applied Mathematics, 2012, v. 128 n. 1, p. 86-105 | en_HK |
dc.identifier.issn | 0022-2526 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/137332 | - |
dc.description.abstract | In 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.language | eng | en_US |
dc.publisher | Blackwell Publishing, Inc. The Journal's web site is located at http://www.blackwellpublishing.com/journals/SAPM | en_HK |
dc.relation.ispartof | Studies in Applied Mathematics | en_HK |
dc.title | On doubly periodic standing wave solutions of the coupled Higgs field equation | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Chow, KW:kwchow@hku.hk | en_HK |
dc.identifier.authority | Chow, KW=rp00112 | en_HK |
dc.description.nature | link_to_OA_fulltext | - |
dc.identifier.doi | 10.1111/j.1467-9590.2011.00531.x | en_HK |
dc.identifier.scopus | eid_2-s2.0-84856209375 | en_HK |
dc.identifier.hkuros | 189598 | en_US |
dc.identifier.hkuros | 200241 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-84856209375&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 128 | en_HK |
dc.identifier.issue | 1 | en_HK |
dc.identifier.spage | 86 | en_HK |
dc.identifier.epage | 105 | en_HK |
dc.identifier.isi | WOS:000299333300005 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Fan, EG=7006443499 | en_HK |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_HK |
dc.identifier.scopusauthorid | Li, JH=43361447900 | en_HK |
dc.identifier.issnl | 0022-2526 | - |