Name
Title | ||
|---|---|---|
Symbolic computation and families of Jacobi elliptic function solutions of the (2+1)-dimensional Nizhnik-Novikov-Veselov equation |
Abstract | ||
|---|---|---|
In this paper, with the aid of the symbolic computation we have improved the extended F-expansion method in [Chaos, Solitons and Fractals 22 (2004) 111] and proposed the further improved F-expansion method. By this method, we have gotten many new exact solutions which we have never seen before within our knowledge of the (2+1)-dimensional Nizhnik-Novikov-Veselov equations. In addition,the solutions we get are more general than the solutions the extended F-expansion method gets. At the same time, our method is more convenient than the method in [Chaos, Solitons and Fractals 18 (2003) 299-309] and the solutions we get are more abundant than the solutions in [H-q Zh. Appl. Math. E-Notes 1 (2001) 139]. In other word, the solutions in [H-q Zh. Appl. Math. E-Notes 1 (2001) 139] are part of our solutions. Our method can also apply to other partial differential equations and also get many new exact solutions. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.amc.2004.09.051 | Applied Mathematics and Computation |
Keywords | Field | DocType |
dimensional nizhnik-novikov-veselov equation,symbolic computation,partial differential equation,improved f-expansion method,extended f-expansion method,jacobi elliptic function solution,new exact solution,h-q zh,1 dimensional,jacobi elliptic functions,exact solution | Exact solutions in general relativity,Soliton,Elliptic function,Mathematical analysis,Symbolic computation,Novikov–Veselov equation,Initial value problem,Numerical analysis,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
168 | 2 | Applied Mathematics and Computation |
Citations | PageRank | References |
8 | 1.36 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Deng-Shan Wang | 1 | 92 | 19.07 |
| Yi Fang Liu | 2 | 8 | 1.36 |
| Hongqing Zhang | 3 | 138 | 48.35 |