Name
Title | ||
|---|---|---|
The improved G'G-expansion method and its applications to the Broer-Kaup equations and approximate long water wave equations |
Abstract | ||
|---|---|---|
By introducing a new general ansatze, the improved G^'G-expansion method is proposed to construct exact solutions of both Broer-Kaup equations and approximate long water wave equations. As a result, some new travelling wave solutions involving parameters, expressed by three types of functions which are the hyperbolic functions, the trigonometric functions and the rational functions, are obtained. When the parameters are taken as special values, the solitary wave solutions are derived from the hyperbolic function solutions. The proposed method is straightforward, concise and effective, and can be applied to other nonlinear evolution equations in mathematical physics. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.amc.2010.03.026 | Applied Mathematics and Computation |
Keywords | Field | DocType |
broer-kaup equations,improved g' g-expansion method,solitary wave solution,nonlinear evolution equations,improved g ′ g -expansion method,broer–kaup equations,approximate long water wave equations,water waves,exact solution,rational function | Mathematical optimization,Nonlinear system,Trigonometric functions,Mathematical analysis,Hyperbolic function,Cnoidal wave,Inhomogeneous electromagnetic wave equation,Independent equation,Mathematics,Simultaneous equations,Shallow water equations | Journal |
Volume | Issue | ISSN |
216 | 7 | Applied Mathematics and Computation |
Citations | PageRank | References |
4 | 0.57 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shimin Guo | 1 | 51 | 6.95 |
| Yubin Zhou | 2 | 29 | 5.13 |
| Chenxia Zhao | 3 | 4 | 1.24 |