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Article: Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation

TitleDarboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation
Authors
Fan, EChow, KW
Issue Date2011
PublisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/jmp/
Citation
Journal of Mathematical Physics, 2011, v. 52 n. 2, article no. 023504 How to Cite?
DOI: http://dx.doi.org/10.1063/1.3545804
AbstractIn this paper, the binary Bell polynomials are applied to succinctly construct bilinear formulism, bilinear Bäcklund transformations, Lax pairs, and Darboux covariant Lax pairs for the (2+1)-dimensional breaking soliton equation. An extra auxiliary variable is introduced to get the bilinear formulism. The infinitely local conservation laws of the equation are found by virtue of its Lax equation and a generalized Miura transformation. All conserved densities and fluxes are given with explicit recursion formulas. © 2011 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/157106
ISSN
0022-2488
2021 Impact Factor: 1.469
2020 SCImago Journal Rankings: 0.708
ISI Accession Number ID
WOS:000287811800033
Funding AgencyGrant Number
Research Grants CouncilHKU 7038/07P
HKU 7118/07E
HUK 7120/08E
National Science Foundation of China (NSFC)10971031
Shanghai Shuguang Tracking Project08GG01
Funding Information:

We would like to express our special thanks to the referee for his valuable suggestions. The work was supported by grants from the Research Grants Council through contracts HKU 7038/07P, HKU 7118/07E, and HUK 7120/08E; the National Science Foundation of China (NSFC) (No. 10971031); and Shanghai Shuguang Tracking Project (No. 08GG01).

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorFan, Een_US
dc.contributor.authorChow, KWen_US
dc.date.accessioned2012-08-08T08:45:21Z-
dc.date.available2012-08-08T08:45:21Z-
dc.date.issued2011en_US
dc.identifier.citationJournal of Mathematical Physics, 2011, v. 52 n. 2, article no. 023504-
dc.identifier.issn0022-2488en_US
dc.identifier.urihttp://hdl.handle.net/10722/157106-
dc.description.abstractIn this paper, the binary Bell polynomials are applied to succinctly construct bilinear formulism, bilinear Bäcklund transformations, Lax pairs, and Darboux covariant Lax pairs for the (2+1)-dimensional breaking soliton equation. An extra auxiliary variable is introduced to get the bilinear formulism. The infinitely local conservation laws of the equation are found by virtue of its Lax equation and a generalized Miura transformation. All conserved densities and fluxes are given with explicit recursion formulas. © 2011 American Institute of Physics.en_US
dc.languageengen_US
dc.publisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/jmp/en_US
dc.relation.ispartofJournal of Mathematical Physicsen_US
dc.rightsCopyright 2011 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics, 2011, v. 52 n. 2, article no. 023504 and may be found at https://doi.org/10.1063/1.3545804-
dc.titleDarboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equationen_US
dc.typeArticleen_US
dc.identifier.emailChow, KW:kwchow@hku.hken_US
dc.identifier.authorityChow, KW=rp00112en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1063/1.3545804en_US
dc.identifier.scopuseid_2-s2.0-79952074037en_US
dc.identifier.hkuros185517-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79952074037&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume52en_US
dc.identifier.issue2en_US
dc.identifier.spagearticle no. 023504-
dc.identifier.epagearticle no. 023504-
dc.identifier.isiWOS:000287811800033-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridFan, E=7006443499en_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.identifier.issnl0022-2488-

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