Name
Abstract | ||
|---|---|---|
In this paper based on a system of Riccati equations, a newly generally projective Riccati equation expansion method is presented. It is direct and more powerful than the tanh-function method, generally projective Riccati equation method and can be used to construct more new exact solutions of nonlinear differential equations in mathematical physics. The well-known KdV equation is chosen to illustrate the algorithm such that more families of new explicit solutions are obtained, which contain soliton-like and periodic-like solutions. This algorithm can also be applied to many other nonlinear differential equations. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.amc.2004.09.077 | Applied Mathematics and Computation |
Keywords | Field | DocType |
new soliton-like,nonlinear differential equation,projective riccati equation method,projective riccati equation expansion,well-known kdv equation,periodic-like solution,mathematical physic,explicit solution,kdv equation,riccati equation,tanh-function method,soliton-like solution,new exact solution,new explicit solution,exact solution | Soliton,Differential equation,Mathematical analysis,Riccati equation,Algebraic Riccati equation,Linear-quadratic regulator,Partial differential equation,Korteweg–de Vries equation,Independent equation,Mathematics | Journal |
Volume | Issue | ISSN |
169 | 1 | Applied Mathematics and Computation |
Citations | PageRank | References |
2 | 0.62 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jianqin Mei | 1 | 5 | 1.94 |
| Hongqing Zhang | 2 | 138 | 48.35 |