Crossover behavior between KdV and mKdV equations in a cold plasma with negative ions
作者:
D. Grecu,
Anca Visinescu,
A. S. Ca⁁rstea,
期刊:
AIP Conference Proceedings
(AIP Available online 1904)
卷期:
Volume 729,
issue 1
页码: 332-338
ISSN:0094-243X
年代: 1904
DOI:10.1063/1.1814747
出版商: AIP
数据来源: AIP
摘要:
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. © 2004 American Institute of Physics
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