Analytic N-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics

Xiao Ge Xu; Xiang Hua Meng; Yi Tian Gao; Xiao Yong Wen

doi:10.1016/j.amc.2008.10.049

Analytic N-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics

Xiao Ge Xu^*
, Xiang Hua Meng
, Yi Tian Gao
, Xiao Yong Wen

^*Corresponding author for this work

School of Aeronautic Science and Engineering

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

27 Scopus citations

Abstract

In this paper, the investigation is focused on a variable-coefficient Gardner equation with quadric and cubic nonlinearities from fluid dynamics and plasma physics. Using the Hirota bilinear method, the one-, two- and three-solitary-wave solutions of the variable-coefficient Gardner equation are derived, and the analytic N-solitary-wave solution is presented for the first time in this paper with the aid of symbolic computation. Figures are plotted to illustrate the solutions obtained in this paper.

Original language	English
Pages (from-to)	313-320
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	210
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2008.10.049
State	Published - 15 Apr 2009

Keywords

Hirota bilinear method
Solitary-wave solutions
Symbolic computation
Variable-coefficient Gardner equation

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10.1016/j.amc.2008.10.049

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abstract = "In this paper, the investigation is focused on a variable-coefficient Gardner equation with quadric and cubic nonlinearities from fluid dynamics and plasma physics. Using the Hirota bilinear method, the one-, two- and three-solitary-wave solutions of the variable-coefficient Gardner equation are derived, and the analytic N-solitary-wave solution is presented for the first time in this paper with the aid of symbolic computation. Figures are plotted to illustrate the solutions obtained in this paper.",

keywords = "Hirota bilinear method, Solitary-wave solutions, Symbolic computation, Variable-coefficient Gardner equation",

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AU - Xu, Xiao Ge

AU - Meng, Xiang Hua

AU - Gao, Yi Tian

AU - Wen, Xiao Yong

PY - 2009/4/15

Y1 - 2009/4/15

N2 - In this paper, the investigation is focused on a variable-coefficient Gardner equation with quadric and cubic nonlinearities from fluid dynamics and plasma physics. Using the Hirota bilinear method, the one-, two- and three-solitary-wave solutions of the variable-coefficient Gardner equation are derived, and the analytic N-solitary-wave solution is presented for the first time in this paper with the aid of symbolic computation. Figures are plotted to illustrate the solutions obtained in this paper.

AB - In this paper, the investigation is focused on a variable-coefficient Gardner equation with quadric and cubic nonlinearities from fluid dynamics and plasma physics. Using the Hirota bilinear method, the one-, two- and three-solitary-wave solutions of the variable-coefficient Gardner equation are derived, and the analytic N-solitary-wave solution is presented for the first time in this paper with the aid of symbolic computation. Figures are plotted to illustrate the solutions obtained in this paper.

KW - Hirota bilinear method

KW - Solitary-wave solutions

KW - Symbolic computation

KW - Variable-coefficient Gardner equation

UR - https://www.scopus.com/pages/publications/62949232141

U2 - 10.1016/j.amc.2008.10.049

DO - 10.1016/j.amc.2008.10.049

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JO - Applied Mathematics and Computation

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ER -

Analytic N-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics

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Keywords

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