Title | ||
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Analytic N-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics |
Abstract | ||
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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 |
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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 Xu | 1 | 9 | 2.06 |
Xiang-Hua Meng | 2 | 13 | 3.37 |
Yi-Tian Gao | 3 | 42 | 14.96 |
Xiao-Yong Wen | 4 | 15 | 5.17 |