Linear stability and instability of ion-acoustic plasma solitary waves

Mariana Haragus; Arnd Scheel

doi:10.1016/S0167-2789(02)00531-6

Linear stability and instability of ion-acoustic plasma solitary waves

Mariana Haragus, Arnd Scheel

School of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

The Euler-Poisson equations for a cold, collisionless plasma support ion-acoustic solitary waves. We prove that these waves are spectrally stable at low amplitude in one space-dimension and present numerical evidence that they destabilize at finite amplitude before they develop singularities.

Original language	English (US)
Pages (from-to)	13-30
Number of pages	18
Journal	Physica D: Nonlinear Phenomena
Volume	170
Issue number	1
DOIs	https://doi.org/10.1016/S0167-2789(02)00531-6
State	Published - Aug 15 2002

Bibliographical note

Funding Information:
The authors gratefully acknowledge financial support by DAAD/Procope, Nr. D/0031082 and F/03132UD. AS wishes to thank the Département de Mathématiques Appliquées, Université Bordeaux 1, for financial support and for providing a fruitful, stimulating atmosphere.

Keywords

Ion-acoustic plasma
Solitary waves
Stability

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10.1016/S0167-2789(02)00531-6

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title = "Linear stability and instability of ion-acoustic plasma solitary waves",

abstract = "The Euler-Poisson equations for a cold, collisionless plasma support ion-acoustic solitary waves. We prove that these waves are spectrally stable at low amplitude in one space-dimension and present numerical evidence that they destabilize at finite amplitude before they develop singularities.",

keywords = "Ion-acoustic plasma, Solitary waves, Stability",

author = "Mariana Haragus and Arnd Scheel",

note = "Funding Information: The authors gratefully acknowledge financial support by DAAD/Procope, Nr. D/0031082 and F/03132UD. AS wishes to thank the D{\'e}partement de Math{\'e}matiques Appliqu{\'e}es, Universit{\'e} Bordeaux 1, for financial support and for providing a fruitful, stimulating atmosphere. ",

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doi = "10.1016/S0167-2789(02)00531-6",

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T1 - Linear stability and instability of ion-acoustic plasma solitary waves

AU - Haragus, Mariana

AU - Scheel, Arnd

N1 - Funding Information: The authors gratefully acknowledge financial support by DAAD/Procope, Nr. D/0031082 and F/03132UD. AS wishes to thank the Département de Mathématiques Appliquées, Université Bordeaux 1, for financial support and for providing a fruitful, stimulating atmosphere.

PY - 2002/8/15

Y1 - 2002/8/15

N2 - The Euler-Poisson equations for a cold, collisionless plasma support ion-acoustic solitary waves. We prove that these waves are spectrally stable at low amplitude in one space-dimension and present numerical evidence that they destabilize at finite amplitude before they develop singularities.

AB - The Euler-Poisson equations for a cold, collisionless plasma support ion-acoustic solitary waves. We prove that these waves are spectrally stable at low amplitude in one space-dimension and present numerical evidence that they destabilize at finite amplitude before they develop singularities.

KW - Ion-acoustic plasma

KW - Solitary waves

KW - Stability

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DO - 10.1016/S0167-2789(02)00531-6

M3 - Article

AN - SCOPUS:0037102693

SN - 0167-2789

VL - 170

SP - 13

EP - 30

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1

ER -

Linear stability and instability of ion-acoustic plasma solitary waves

Abstract

Bibliographical note

Keywords

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