On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation

Bo Tian; Yi Tian Gao

doi:10.1016/j.physleta.2005.03.082

On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation

Bo Tian^*
, Yi Tian Gao

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beijing University of Posts and Telecommunications
Beihang University

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

150 Scopus citations

Abstract

Dusty plasmas can support the dust-ion-acoustic and dust-acoustic modes, modelled by the cylindrical Korteweg-de Vries equation as proposed. In this Letter, we point out that there exist a couple of problems in the plasma-physics literature on the cylindrical Korteweg-de Vries equation, i.e., the claim of non-existence of exact analytic solutions and omission of varying ambient field, to which we provide our answers. With symbolic computation, we obtain a family of exact analytic, solitonic solutions, of which the previous solutions in plasma physics turn out to be the special cases. With figures, we work out some possibly observable effects for the future plasma experiments, featured by a solitonic pulse aboard the varying ambient field propagating with its varying velocity and amplitude.

Original language	English
Pages (from-to)	449-455
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	340
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2005.03.082
State	Published - 13 Jun 2005

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10.1016/j.physleta.2005.03.082

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title = "On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation",

abstract = "Dusty plasmas can support the dust-ion-acoustic and dust-acoustic modes, modelled by the cylindrical Korteweg-de Vries equation as proposed. In this Letter, we point out that there exist a couple of problems in the plasma-physics literature on the cylindrical Korteweg-de Vries equation, i.e., the claim of non-existence of exact analytic solutions and omission of varying ambient field, to which we provide our answers. With symbolic computation, we obtain a family of exact analytic, solitonic solutions, of which the previous solutions in plasma physics turn out to be the special cases. With figures, we work out some possibly observable effects for the future plasma experiments, featured by a solitonic pulse aboard the varying ambient field propagating with its varying velocity and amplitude.",

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T1 - On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation

AU - Tian, Bo

AU - Gao, Yi Tian

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N2 - Dusty plasmas can support the dust-ion-acoustic and dust-acoustic modes, modelled by the cylindrical Korteweg-de Vries equation as proposed. In this Letter, we point out that there exist a couple of problems in the plasma-physics literature on the cylindrical Korteweg-de Vries equation, i.e., the claim of non-existence of exact analytic solutions and omission of varying ambient field, to which we provide our answers. With symbolic computation, we obtain a family of exact analytic, solitonic solutions, of which the previous solutions in plasma physics turn out to be the special cases. With figures, we work out some possibly observable effects for the future plasma experiments, featured by a solitonic pulse aboard the varying ambient field propagating with its varying velocity and amplitude.

AB - Dusty plasmas can support the dust-ion-acoustic and dust-acoustic modes, modelled by the cylindrical Korteweg-de Vries equation as proposed. In this Letter, we point out that there exist a couple of problems in the plasma-physics literature on the cylindrical Korteweg-de Vries equation, i.e., the claim of non-existence of exact analytic solutions and omission of varying ambient field, to which we provide our answers. With symbolic computation, we obtain a family of exact analytic, solitonic solutions, of which the previous solutions in plasma physics turn out to be the special cases. With figures, we work out some possibly observable effects for the future plasma experiments, featured by a solitonic pulse aboard the varying ambient field propagating with its varying velocity and amplitude.

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SN - 0375-9601

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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 -

On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation

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