Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
dc.contributor.author | Boyd, John P. | en_US |
dc.date.accessioned | 2006-04-10T14:48:59Z | |
dc.date.available | 2006-04-10T14:48:59Z | |
dc.date.issued | 1991-02 | en_US |
dc.identifier.citation | Boyd, John P. (1991/02)."Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation." Physica D: Nonlinear Phenomena 48(1): 129-146. <http://hdl.handle.net/2027.42/29471> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6TVK-46FYVGR-7P/2/5e18114de8bf2f4c5754b5db8c4e3cfc | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/29471 | |
dc.description.abstract | Hunter and Scheurle have shown that capillary-gravity water waves in the vicinity of Bond number (Bo)[approximate]1/3 are consistently modelled by the Korteweg-de Vries equation with the addition of a fifth derivative term. This wave equation does not have strict soliton solutions for Bo 0.In this article, we describe a mixed Chebyshev/radiation function pseudospectral method which is able to calculate the "weakly non-local solitons" for all [epsilon]. We show that for fixed phase speed, the solitons form a three-parameter family because the linearized wave equation has three eigensolutions. We also show that one may repeat the soliton with even spacing to create a three-parameter of periodic solutions, which we also compute.Because the amplitude of the "wings" is exponentially small, these non-local capillary gravity solitons are as interesting as the classical, localized solitons that solve the Korteweg-de Vries equation. | en_US |
dc.format.extent | 1558660 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Atmospheric, Oceanic and Space Sciences and Laboratory for Scientific Computation University of Michigan, 2455 Hayward Avenue, Ann Arbor, MI 48109, USA | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/29471/1/0000557.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0167-2789(91)90056-F | en_US |
dc.identifier.source | Physica D: Nonlinear Phenomena | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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