Name
Title | ||
|---|---|---|
Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg–de Vries model in a hot magnetized dusty plasma with charge fluctuations |
Abstract | ||
|---|---|---|
Under investigation in this paper is a variable-coefficient modified Korteweg–de Vries (vc-mKdV) model in a hot magnetized dusty plasma with charge fluctuations. With symbolic computation and bilinear method, Painlevé property is studied, auto-Bäcklund transformation is constructed, while soliton and other analytic solutions are obtained. Furthermore, influence of the coefficients on the dust-ion-acoustic (DIA) solitary wave propagation is investigated based on the soliton solution, which can be concluded as follows: (i) Amplitude of the DIA solitary wave is proportional to the square of the ratio of the coefficients of the dispersive to nonlinear terms; (ii) Velocity of the DIA solitary wave is controlled by the coefficients of the dispersive and dissipative terms; (iii) Propagation trajectory of the DIA solitary wave depends on the function forms of the coefficients of the dispersive, nonlinear and dissipative terms. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.amc.2011.05.049 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Variable-coefficient modified Korteweg-de Vries model,Painlevé property,Auto-Bäcklund transformation,Periodic solution,Soliton solution,Hot magnetized dusty plasma,DIA solitary wave,Symbolic computation | Soliton,Nonlinear system,Wave propagation,Mathematical analysis,Mathematical physics,Dissipative system,Symbolic computation,Dusty plasma,Cnoidal wave,Amplitude,Physics | Journal |
Volume | Issue | ISSN |
218 | 2 | 0096-3003 |
Citations | PageRank | References |
1 | 0.69 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiao-Ling Gai | 1 | 10 | 3.67 |
| Yi-Tian Gao | 2 | 42 | 14.96 |
| Xin Yu | 3 | 18 | 6.22 |
| Lei Wang | 4 | 7 | 3.51 |