Title
Analytic N-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics
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.
Year
DOI
Venue
2009
10.1016/j.amc.2008.10.049
Applied Mathematics and Computation
Keywords
Field
DocType
hirota bilinear method,symbolic computation,solitary-wave solutions,variable-coefficient gardner equation,plasma physics,fluid dynamics
Nonlinear system,Mathematical analysis,Symbolic computation,Fluid dynamics,Plasma,Numerical analysis,Gardner's relation,Quadric,Mathematics,Bilinear interpolation
Journal
Volume
Issue
ISSN
210
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
5
0.59
1
Authors
4
Name
Order
Citations
PageRank
Xiao-Ge Xu192.06
Xiang-Hua Meng2133.37
Yi-Tian Gao34214.96
Xiao-Yong Wen4155.17