Multiple soliton-like solutions and similarity reductions of a spherical Kadomtsev-Petviashvili equation from plasma physics

Ye Zhou Li; Jian Guo Liu; Guang Mei Wei; Yi Tian Gao

doi:10.1088/0253-6102/47/1/030

Multiple soliton-like solutions and similarity reductions of a spherical Kadomtsev-Petviashvili equation from plasma physics

Ye Zhou Li^*
, Jian Guo Liu
, Guang Mei Wei
, Yi Tian Gao

^*Corresponding author for this work

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

3 Scopus citations

Abstract

A spherical Kadomtsev-Petviashvili (SKP) equation for dust acoustic or ion-acoustic waves is studied. Similarity reductions of the SKP equation are obtained with the one-parameter (e) Lie group of infinitesimal transformations and Clarkson-Kruskal direct method. The SKP equation is also solved with a generalized tanh function method.

Original language	English
Pages (from-to)	155-160
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	47
Issue number	1
DOIs	https://doi.org/10.1088/0253-6102/47/1/030
State	Published - 15 Jan 2007

Keywords

SKP equation
Similarity reduction
Soliton-like solution

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10.1088/0253-6102/47/1/030

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title = "Multiple soliton-like solutions and similarity reductions of a spherical Kadomtsev-Petviashvili equation from plasma physics",

abstract = "A spherical Kadomtsev-Petviashvili (SKP) equation for dust acoustic or ion-acoustic waves is studied. Similarity reductions of the SKP equation are obtained with the one-parameter (e) Lie group of infinitesimal transformations and Clarkson-Kruskal direct method. The SKP equation is also solved with a generalized tanh function method.",

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AU - Li, Ye Zhou

AU - Liu, Jian Guo

AU - Wei, Guang Mei

AU - Gao, Yi Tian

PY - 2007/1/15

Y1 - 2007/1/15

N2 - A spherical Kadomtsev-Petviashvili (SKP) equation for dust acoustic or ion-acoustic waves is studied. Similarity reductions of the SKP equation are obtained with the one-parameter (e) Lie group of infinitesimal transformations and Clarkson-Kruskal direct method. The SKP equation is also solved with a generalized tanh function method.

AB - A spherical Kadomtsev-Petviashvili (SKP) equation for dust acoustic or ion-acoustic waves is studied. Similarity reductions of the SKP equation are obtained with the one-parameter (e) Lie group of infinitesimal transformations and Clarkson-Kruskal direct method. The SKP equation is also solved with a generalized tanh function method.

KW - SKP equation

KW - Similarity reduction

KW - Soliton-like solution

UR - https://www.scopus.com/pages/publications/33846867692

U2 - 10.1088/0253-6102/47/1/030

DO - 10.1088/0253-6102/47/1/030

M3 - 文章

AN - SCOPUS:33846867692

SN - 0253-6102

VL - 47

SP - 155

EP - 160

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 1

ER -

Multiple soliton-like solutions and similarity reductions of a spherical Kadomtsev-Petviashvili equation from plasma physics

Abstract

Keywords

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