Nonlinear Weibel-type soliton modes
A discussion of nonlinear soliton behavior is given, including coupling between electrostatic and electromagnetic potentials for non-relativistic, weakly relativistic, and fully relativistic plasmas. For plasma distribution functions that are independent of the canonical momenta perpendicular to the...
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Published in | Journal of physics. A, Mathematical and theoretical Vol. 44; no. 4; pp. 045501 - 18 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Bristol
IOP Publishing
28.01.2011
IOP |
Subjects | |
Online Access | Get full text |
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Summary: | A discussion of nonlinear soliton behavior is given, including coupling between electrostatic and electromagnetic potentials for non-relativistic, weakly relativistic, and fully relativistic plasmas. For plasma distribution functions that are independent of the canonical momenta perpendicular to the soliton spatial structure direction there are, in fact, no soliton behaviors allowed because transverse currents are zero. Dependence on the transverse canonical momenta is necessary. When this is the case, it is shown that the presence or absence of a soliton is intimately connected to the functional form assumed for the particle distribution functions. Except for simple situations, the coupled nonlinear equations for the electrostatic and electromagnetic potentials would seem to require numerical solution procedures. Examples are given to illustrate all of these points for non-relativistic, weakly relativistic, and fully relativistic plasmas. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 1751-8121 1751-8113 1751-8121 |
DOI: | 10.1088/1751-8113/44/4/045501 |