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Exact and approximate nonlinear waves generated by the periodic superposition of solitons
dc.contributor.authorBoyd, John P.en_US
dc.date.accessioned2006-09-08T21:26:51Z
dc.date.available2006-09-08T21:26:51Z
dc.date.issued1989-11en_US
dc.identifier.citationBoyd, John P.; (1989). "Exact and approximate nonlinear waves generated by the periodic superposition of solitons." ZAMP Zeitschrift für angewandte Mathematik und Physik 40(6): 940-944. <http://hdl.handle.net/2027.42/43442>en_US
dc.identifier.issn0044-2275en_US
dc.identifier.issn1420-9039en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/43442
dc.description.abstractToda [1], Boyd [2], Zaitsev [3], Korpel & Banerjee [4], and Whitham [5] have proved that many species of solitons may be cloned and superposed with even spacing to generate exact nonlinear, spatially periodic solutions (“cnoidal waves”). The equations solved by such “imbricate” series of solitary waves include the Korteweg-deVries, Cubic Schroedinger, Benjamin-Ono, and resonant triad equations. However, all existing theorems apply only when the solitons are rational or meromorphic functions and the cnoidal waves are elliptic functions. In this note, we ask: does the exact soliton-superposition apply to non-elliptic solitons and cnoidal waves?en_US
dc.format.extent317805 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherBirkhäuser-Verlag; Birkhäuser Verlag ; Springer Science+Business Mediaen_US
dc.subject.otherEngineeringen_US
dc.subject.otherMathematical Methods in Physicsen_US
dc.subject.otherTheoretical and Applied Mechanicsen_US
dc.titleExact and approximate nonlinear waves generated by the periodic superposition of solitonsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDept. of Atmospheric, Oceanic & Space Sciences and Laboratory for Scientific Computation, University of Michigan, 2455 Hayward Avenue, 48109, Ann Arbor, MI, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/43442/1/33_2004_Article_BF00945815.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF00945815en_US
dc.identifier.sourceZAMP Zeitschrift für angewandte Mathematik und Physiken_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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