Name
Title | ||
|---|---|---|
Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves |
Abstract | ||
|---|---|---|
Korteweg–de Vries (KdV)-type equations can describe some physical phenomena in fluids, nonlinear optics, quantum mechanics, plasmas, etc. In this paper, with the aid of symbolic computation, the integrable sixth-order KdV equation is investigated. Darboux transformation (DT) with an arbitrary parameter is presented. Explicit solutions are derived with the DT. Relevant properties are graphically illustrated, which might be helpful to understand some physical processes in fluids, plasmas, optics and quantum mechanics. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.amc.2011.05.045 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Integrable sixth-order KdV equation,Lax pair,Darboux transformation,Explicit solution,Symbolic computation | Integrable system,Nonlinear system,Mathematical physics,Mathematical analysis,Symbolic computation,Lax pair,Korteweg–de Vries equation,Nonlinear optics,Physical phenomena,Mathematics | Journal |
Volume | Issue | ISSN |
218 | 1 | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiao-Yong Wen | 1 | 15 | 5.17 |
| Yi-Tian Gao | 2 | 42 | 14.96 |
| Lei Wang | 3 | 7 | 3.51 |