Name
Title | ||
|---|---|---|
N-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water. |
Abstract | ||
|---|---|---|
Under consideration in this paper is a variable-coefficient generalized Boussinesq system for the long weakly-nonlinear and weakly-dispersive surface waves in shallow water. With the aid of symbolic computation, N-fold Darboux transformation (N-DT) is constructed for that system. Analytic solutions of the system are obtained via the N-DT. Elastic interactions of three bell-shaped and periodic bell-shaped solitons are obtained. Fusion interactions and periodic fusion–fission interactions of the solitary waves are graphically analyzed, which are inelastic. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.amc.2011.08.080 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Variable-coefficient generalized Boussinesq system in shallow water,N-fold Darboux transformation,Analytic solutions,Interactions,Solitons,Solitary waves,Symbolic computation | Waves and shallow water,Soliton,Mathematical analysis,Surface wave,Symbolic computation,Periodic graph (geometry),Mathematics,Boussinesq approximation (water waves) | Journal |
Volume | Issue | ISSN |
218 | 8 | 0096-3003 |
Citations | PageRank | References |
3 | 0.87 | 11 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| De-Xin Meng | 1 | 11 | 3.56 |
| Yi-Tian Gao | 2 | 42 | 14.96 |
| Lei Wang | 3 | 7 | 3.51 |
| Xiao-Ling Gai | 4 | 10 | 3.67 |