Ion-acoustic shocks in space and laboratory dusty plasmas: Two-dimensional and non-traveling-wave observable effects

Yi Tian Gao; Bo Tian

doi:10.1063/1.1379589

Ion-acoustic shocks in space and laboratory dusty plasmas: Two-dimensional and non-traveling-wave observable effects

Yi Tian Gao^*
, Bo Tian

^*Corresponding author for this work

School of Aeronautic Science and Engineering

China Center of Advanced Science and Technology World Laboratory
Beihang University

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

35 Scopus citations

Abstract

Some recent observations of the ion-acoustic shocks in dusty plasmas have been explained via the one-dimensional Korteweg-de Vries-Burgers equation (1-D-KdVB). To help study the space and laboratory plasma systems, the investigation on a two-dimensional generalization of the 1-D-KdVB is performed with computerized symbolic computation. An auto-Bäcklund transformation and some monotonic-shock-wave-like, exact analytic solutions are found. Then, several observable effects are predicted, which the future space and laboratory plasma experiments might discover, beyond the existing one-dimensional and traveling-wave considerations.

Original language	English
Pages (from-to)	3146-3149
Number of pages	4
Journal	Physics of Plasmas
Volume	8
Issue number	7
DOIs	https://doi.org/10.1063/1.1379589
State	Published - Jul 2001

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title = "Ion-acoustic shocks in space and laboratory dusty plasmas: Two-dimensional and non-traveling-wave observable effects",

abstract = "Some recent observations of the ion-acoustic shocks in dusty plasmas have been explained via the one-dimensional Korteweg-de Vries-Burgers equation (1-D-KdVB). To help study the space and laboratory plasma systems, the investigation on a two-dimensional generalization of the 1-D-KdVB is performed with computerized symbolic computation. An auto-B{\"a}cklund transformation and some monotonic-shock-wave-like, exact analytic solutions are found. Then, several observable effects are predicted, which the future space and laboratory plasma experiments might discover, beyond the existing one-dimensional and traveling-wave considerations.",

author = "Gao, \{Yi Tian\} and Bo Tian",

year = "2001",

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N2 - Some recent observations of the ion-acoustic shocks in dusty plasmas have been explained via the one-dimensional Korteweg-de Vries-Burgers equation (1-D-KdVB). To help study the space and laboratory plasma systems, the investigation on a two-dimensional generalization of the 1-D-KdVB is performed with computerized symbolic computation. An auto-Bäcklund transformation and some monotonic-shock-wave-like, exact analytic solutions are found. Then, several observable effects are predicted, which the future space and laboratory plasma experiments might discover, beyond the existing one-dimensional and traveling-wave considerations.

AB - Some recent observations of the ion-acoustic shocks in dusty plasmas have been explained via the one-dimensional Korteweg-de Vries-Burgers equation (1-D-KdVB). To help study the space and laboratory plasma systems, the investigation on a two-dimensional generalization of the 1-D-KdVB is performed with computerized symbolic computation. An auto-Bäcklund transformation and some monotonic-shock-wave-like, exact analytic solutions are found. Then, several observable effects are predicted, which the future space and laboratory plasma experiments might discover, beyond the existing one-dimensional and traveling-wave considerations.

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ER -

Ion-acoustic shocks in space and laboratory dusty plasmas: Two-dimensional and non-traveling-wave observable effects

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