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Quasi-stationary solitons for Langmuir waves in plasmas

✍ Scribed by Anjan Biswas


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
142 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis


The multiple-scale perturbation analysis is used to study the perturbed nonlinear Schro Β¨dinger's equation, that describes the Langmuir waves in plasmas. The perturbation terms include the non-local term due to nonlinear Landau damping. The WKB type ansatz is used to define the phase of the soliton that captures the corrections to the pulse where the standard soliton perturbation theory fails.


πŸ“œ SIMILAR VOLUMES


On the theory of stationary waves in pla
✍ N.G. Van Kampen πŸ“‚ Article πŸ“… 1955 πŸ› Elsevier Science βš– 720 KB

Existing theories of stationary plasma oscillations lead to a dispersion equation ( ), involving an integration across a pole. It is here shown that this difficulty is of purely mathematical origin, and can be overcome by a proper treatment. This treatment leads to a complete set of stationary solut