Quasi-stationary solitons for Langmuir waves in plasmas
β 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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β¦ 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.
π SIMILAR VOLUMES
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