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Cnoidal waves generated from a plasma instability Romanin, Benjamin Stephen Joseph
Abstract
In this thesis we show that stable cnoidal waves can be generated from a linearly unstable plasma system. We look at a two-stream electromagnetic instability using plasma fluid theory. A reductive perturbation method is used to solve the equations to various order in a smallness parameter, ε. To O(ε²) , the set of equations can be reduced to a canonical nonlinear equation: the Korteweg-deVries equation. This equation has stable cnoidal solutions.
Item Metadata
| Title |
Cnoidal waves generated from a plasma instability
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1984
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| Description |
In this thesis we show that stable cnoidal waves can be generated from a linearly unstable plasma system. We look at a two-stream electromagnetic instability using plasma fluid theory. A reductive perturbation method is used to solve the equations to various order in a smallness parameter, ε. To O(ε²) , the set of equations can be reduced to a canonical nonlinear equation: the Korteweg-deVries equation. This equation has stable cnoidal solutions.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2010-05-16
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0052502
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.