Name
Title | ||
|---|---|---|
Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves |
Abstract | ||
|---|---|---|
Variable-coefficient variant Boussinesq (VCVB) system is able to describe the nonlinear and dispersive long gravity waves traveling in two horizontal directions with varying depth. In this paper, with symbolic computation, a Lax pair associated with the VCVB system under some constraints for variable coefficients is derived, and based on the Lax pair, two sorts of basic Darboux transformations are presented. By applying the Darboux transformations, some solitonic solutions are obtained, with the relevant constraints given in the text. In addition, the VCVB system is transformed to a variable-coefficient Broer-Kaup system. Solitonic solutions and procedure of getting them could be helpful to solve the nonlinear and dispersive problems in fluid dynamics. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.amc.2009.07.039 | Applied Mathematics and Computation |
Keywords | DocType | Volume |
variable-coefficient variant boussinesq system,solitonic solution,lax pair,darboux transformation,nonlinear wave,fluid dynamics,symbolic computation,gravity wave | Journal | 215 |
Issue | ISSN | Citations |
5 | Applied Mathematics and Computation | 2 |
PageRank | References | Authors |
0.90 | 2 | 8 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| De-Xin Meng | 1 | 11 | 3.56 |
| Yi-Tian Gao | 2 | 42 | 14.96 |
| Xiao-Ling Gai | 3 | 10 | 3.67 |
| Lei Wang | 4 | 7 | 3.51 |
| Xin Yu | 5 | 18 | 6.22 |
| Zhi-Yuan Sun | 6 | 8 | 3.01 |
| Ming-Zhen Wang | 7 | 2 | 0.90 |
| Xing Lü | 8 | 93 | 15.04 |