Crossover behavior between KdV and mKdV equations in a cold plasma with negative ions

Journal Article · Mon Oct 04 00:00:00 EDT 2004 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1814747· OSTI ID:20630235

Grecu, D; Visinescu, Anca; Carstea, A S ^[1]

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1. Department of Theoretical Physics, 'Horia Hulubei' National Institute of Physics and Nuclear Engineering, Bucharest (Romania)

It is well known that the KdV equation describes the behavior of ion-acoustic waves in a cold plasma. In the presence of negative ions, if their concentration satisfies a certain condition (critical concentration) the relevant equation is the modified KdV equation. The transition between these two regimes is studied from several points of view. The multiple scales analysis is extended to higher order and the role played by the next equations in the corresponding hierarchies KdV and mKdV is discussed.

• OSTI ID: 20630235
• Journal Information: AIP Conference Proceedings, Vol. 729, Issue 1; Conference: International workshop on global analysis, Ankara (Turkey), 15-17 Apr 2004; Other Information: DOI: 10.1063/1.1814747; (c) 2004 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANIONS
COLD PLASMA
ION ACOUSTIC WAVES
ION DENSITY
KORTEWEG-DE VRIES EQUATION