Evolution and breaking of ion-acoustic waves

Philip Rosenau

Evolution and breaking of ion-acoustic waves

^*Corresponding author for this work

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

Abstract

A new amplitude equation governing the velocity evolution of ion-acoustic waves in a collisionless plasma is derived: V_tt + (V²)_xt = [(1-V²)V_x]_x + βV_xxtt. From this equation the existence of a critical amplitude threshold is immediately deduced, which leads to a double layer and above which solitary waves cannot exist. Above this threshold shock waves form and density undergoes explosive growth. Multidimensional waves and waves due to the magnetic drift are also considered.

Original language	English
Pages (from-to)	1317-1319
Number of pages	3
Journal	Physics of Fluids
Volume	31
Issue number	6
State	Published - 1988
Externally published	Yes

Cite this

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title = "Evolution and breaking of ion-acoustic waves",

abstract = "A new amplitude equation governing the velocity evolution of ion-acoustic waves in a collisionless plasma is derived: Vtt + (V2)xt = [(1-V2)Vx]x + βVxxtt. From this equation the existence of a critical amplitude threshold is immediately deduced, which leads to a double layer and above which solitary waves cannot exist. Above this threshold shock waves form and density undergoes explosive growth. Multidimensional waves and waves due to the magnetic drift are also considered.",

author = "Philip Rosenau",

note = "Publisher Copyright: {\textcopyright} 1988 American Institute of Physics.",

year = "1988",

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journal = "Physics of Fluids",

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N2 - A new amplitude equation governing the velocity evolution of ion-acoustic waves in a collisionless plasma is derived: Vtt + (V2)xt = [(1-V2)Vx]x + βVxxtt. From this equation the existence of a critical amplitude threshold is immediately deduced, which leads to a double layer and above which solitary waves cannot exist. Above this threshold shock waves form and density undergoes explosive growth. Multidimensional waves and waves due to the magnetic drift are also considered.

AB - A new amplitude equation governing the velocity evolution of ion-acoustic waves in a collisionless plasma is derived: Vtt + (V2)xt = [(1-V2)Vx]x + βVxxtt. From this equation the existence of a critical amplitude threshold is immediately deduced, which leads to a double layer and above which solitary waves cannot exist. Above this threshold shock waves form and density undergoes explosive growth. Multidimensional waves and waves due to the magnetic drift are also considered.

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M3 - מאמר

AN - SCOPUS:0040646607

VL - 31

SP - 1317

EP - 1319

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 6

ER -

Evolution and breaking of ion-acoustic waves

Abstract

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