Monopolar and dipolar vortex solitons in two space dimensions
dc.contributor.author | Boyd, John P. | en_US |
dc.date.accessioned | 2006-04-10T14:44:21Z | |
dc.date.available | 2006-04-10T14:44:21Z | |
dc.date.issued | 1991-05 | en_US |
dc.identifier.citation | Boyd, John P. (1991/05)."Monopolar and dipolar vortex solitons in two space dimensions." Wave Motion 13(3): 223-241. <http://hdl.handle.net/2027.42/29355> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6TW5-46T3G52-1S/2/7a0271457e655e01b0de1261b034e46d | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/29355 | |
dc.description.abstract | We compute solitary waves which solve [Delta]u - y2 u - (u + yu2)/c = 0 where c is the phase speed in the x direction and y = 0 is the equator. This equation is a heuristic model for Rossby waves on the "equatorial beta-plane" in geophysical fluid dynamics. For positive c only, there are one-signed solutions ("monopole vortices") which are centered in the middle latitudes. When c [epsilon][-[infinity], -1/3 or c > 0, there are dipoles which have matching vortices of opposite sign in each hemisphere. A third class of solutions is composed of equator-spanning monopoles that are unsymmetric in y. In addition to these families of strict solitary waves, there are also quadrapole vortices which are "weakly non-local solitons" in the sense that they almost meet the usual criterion for solitary waves except for a weak--very weak--radiation to infinity. Orthogonal rational Chebyshev functions and Newton's iteration are used to compute numerical solutions, but four analytic approximations are also derived. Although the equation is only a crude model of geophysical waves, its rich diversity offers a good education in solitary waves in two space dimensions. | en_US |
dc.format.extent | 1276425 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 | Monopolar and dipolar vortex solitons in two space dimensions | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | 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/2027.42/29355/1/0000423.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0165-2125(91)90060-2 | en_US |
dc.identifier.source | Wave Motion | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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