Transverse stability of strongly nonlinear ion acoustic modes

F. Detering; A. Smolyakov; I. Khabibrakhmanov

doi:10.1016/j.physleta.2004.03.007

Transverse stability of strongly nonlinear ion acoustic modes

F. Detering, A. Smolyakov^*, I. Khabibrakhmanov

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

The transverse stability of strongly nonlinear ion-acoustic structures, described by the general Sagdeev potential, is investigated. It is shown, that the multi-scale stability analysis by [Sov. Phys. Dokl. 15 (1970) 539] for solitary waves, described by a weakly dispersive and weakly nonlinear equation, can be generalized for strongly nonlinear systems. The stability of plasma ion sheath formed at the plasma-boundary interface and the double-layer formed in a two-component plasma has been specifically studied and dispersion relations for transverse ion oscillations have been obtained.

Original language	English
Pages (from-to)	465-471
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	324
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2004.03.007
Publication status	Published - 26 Apr 2004
Externally published	Yes

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title = "Transverse stability of strongly nonlinear ion acoustic modes",

abstract = "The transverse stability of strongly nonlinear ion-acoustic structures, described by the general Sagdeev potential, is investigated. It is shown, that the multi-scale stability analysis by [Sov. Phys. Dokl. 15 (1970) 539] for solitary waves, described by a weakly dispersive and weakly nonlinear equation, can be generalized for strongly nonlinear systems. The stability of plasma ion sheath formed at the plasma-boundary interface and the double-layer formed in a two-component plasma has been specifically studied and dispersion relations for transverse ion oscillations have been obtained.",

keywords = "Double-layer, Ion-sound, Kadomtsev-Petviashvili equation, Sheath, Soliton, Stability",

author = "F. Detering and A. Smolyakov and I. Khabibrakhmanov",

year = "2004",

month = apr,

day = "26",

doi = "10.1016/j.physleta.2004.03.007",

language = "English",

volume = "324",

pages = "465--471",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

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}

TY - JOUR

T1 - Transverse stability of strongly nonlinear ion acoustic modes

AU - Detering, F.

AU - Smolyakov, A.

AU - Khabibrakhmanov, I.

PY - 2004/4/26

Y1 - 2004/4/26

N2 - The transverse stability of strongly nonlinear ion-acoustic structures, described by the general Sagdeev potential, is investigated. It is shown, that the multi-scale stability analysis by [Sov. Phys. Dokl. 15 (1970) 539] for solitary waves, described by a weakly dispersive and weakly nonlinear equation, can be generalized for strongly nonlinear systems. The stability of plasma ion sheath formed at the plasma-boundary interface and the double-layer formed in a two-component plasma has been specifically studied and dispersion relations for transverse ion oscillations have been obtained.

AB - The transverse stability of strongly nonlinear ion-acoustic structures, described by the general Sagdeev potential, is investigated. It is shown, that the multi-scale stability analysis by [Sov. Phys. Dokl. 15 (1970) 539] for solitary waves, described by a weakly dispersive and weakly nonlinear equation, can be generalized for strongly nonlinear systems. The stability of plasma ion sheath formed at the plasma-boundary interface and the double-layer formed in a two-component plasma has been specifically studied and dispersion relations for transverse ion oscillations have been obtained.

KW - Double-layer

KW - Ion-sound

KW - Kadomtsev-Petviashvili equation

KW - Sheath

KW - Soliton

KW - Stability

UR - https://www.scopus.com/pages/publications/1842736177

U2 - 10.1016/j.physleta.2004.03.007

DO - 10.1016/j.physleta.2004.03.007

M3 - Article

SN - 0375-9601

VL - 324

SP - 465

EP - 471

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

Transverse stability of strongly nonlinear ion acoustic modes

Abstract

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