Exact and approximate nonlinear waves generated by the periodic superposition of solitons
dc.contributor.author | Boyd, John P. | en_US |
dc.date.accessioned | 2006-09-08T21:26:51Z | |
dc.date.available | 2006-09-08T21:26:51Z | |
dc.date.issued | 1989-11 | en_US |
dc.identifier.citation | Boyd, 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.issn | 0044-2275 | en_US |
dc.identifier.issn | 1420-9039 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/43442 | |
dc.description.abstract | Toda [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.extent | 317805 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Birkhäuser-Verlag; Birkhäuser Verlag ; Springer Science+Business Media | en_US |
dc.subject.other | Engineering | en_US |
dc.subject.other | Mathematical Methods in Physics | en_US |
dc.subject.other | Theoretical and Applied Mechanics | en_US |
dc.title | Exact and approximate nonlinear waves generated by the periodic superposition of solitons | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Dept. of Atmospheric, Oceanic & Space Sciences and Laboratory for Scientific Computation, University of Michigan, 2455 Hayward Avenue, 48109, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/43442/1/33_2004_Article_BF00945815.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF00945815 | en_US |
dc.identifier.source | ZAMP Zeitschrift für angewandte Mathematik und Physik | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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