Name
Title | ||
|---|---|---|
Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves |
Abstract | ||
|---|---|---|
Under investigation in this paper is a variable-coefficient variant Boussinesq (vcvB) model for the nonlinear and dispersive long gravity waves in shallow water traveling in two horizontal directions with varying depth. Connection between the vcvB model and a variable-coefficient Ablowitz–Kaup–Newell–Segur system is revealed under certain constraints with the help of the symbolic computation. Multi-solitonic solutions in terms of the double Wronskian determinant for the vcvB model are derived. Interactions among the vcvB-solitons are discussed. A novel dynamic property is observed, i.e., the coexistence of elastic–inelastic-interactions. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.amc.2010.11.035 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Variable-coefficient variant Boussinesq model,Symbolic computation,Multi-solitonic solutions,Double Wronskian determinant,Solitonic interactions | Gravitational wave,Nonlinear system,Mathematical analysis,Wronskian,Symbolic computation,Dispersion (water waves),Classical mechanics,Boussinesq approximation (buoyancy),Mathematics,Computation,Boussinesq approximation (water waves) | Journal |
Volume | Issue | ISSN |
217 | 9 | 0096-3003 |
Citations | PageRank | References |
2 | 0.58 | 1 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Guo-Dong Lin | 1 | 2 | 0.58 |
| Yi-Tian Gao | 2 | 42 | 14.96 |
| Zhi-Yuan Sun | 3 | 8 | 3.01 |
| Xin Yu | 4 | 18 | 6.22 |
| De-Xin Meng | 5 | 11 | 3.56 |