Name
Title | ||
|---|---|---|
A new Riccati equation expansion method with symbolic computation to construct new travelling wave solution of nonlinear differential equations |
Abstract | ||
|---|---|---|
In this paper, based on a new system of Riccati equations, we present a triple Riccati equation expansion method. The nonlinear Klein–Gordon equation and the combined KdV–mKdV equation are chosen to illustrate the method. As a result, many new travelling solutions, which include bell-profile solitary wave solution, singular solitary solutions, periodic solutions are obtained. This method can be used to the other nonlinear evolution equations in mathematics physics. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.amc.2005.01.145 | Applied Mathematics and Computation |
Keywords | Field | DocType |
New Riccati equation expansion method,Solitary solution,Periodic solution,Klein–Gordon equation,Combined KdV–mKdV equation | Differential equation,Nonlinear system,Mathematical analysis,Singular solution,Riccati equation,Algebraic Riccati equation,Partial differential equation,Linear-quadratic regulator,Independent equation,Mathematics | Journal |
Volume | Issue | ISSN |
172 | 1 | 0096-3003 |
Citations | PageRank | References |
2 | 0.60 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xueqin Zhao | 1 | 6 | 3.11 |
| Hongyan Zhi | 2 | 7 | 2.64 |
| Yaxuan Yu | 3 | 2 | 0.94 |
| Hongqing Zhang | 4 | 138 | 48.35 |