Name
Abstract | ||
|---|---|---|
With the aid of symbolic computation, auxiliary equation method is introduced to investigate modified forms of Camassa–Holm and Degasperis–Procesi equations. A series of new exact traveling wave solutions, including smooth solitary wave solution, peakons, singular solution, periodic wave solution, Jacobi elliptic solution, are obtained in general form. These new exact solutions will enrich previous results and help us further understand the physical structures of these two nonlinear equations. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.amc.2009.05.006 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Modified form of Camassa–Holm equation,Modified form of Degasperis–Procesi equation,Auxiliary equation method,Solitary wave solutions,Peakon | Mathematical optimization,Nonlinear system,Traveling wave,Characteristic equation,Peakon,Mathematical analysis,Singular solution,Symbolic computation,Periodic graph (geometry),Mathematics | Journal |
Volume | Issue | ISSN |
217 | 4 | 0096-3003 |
Citations | PageRank | References |
2 | 0.45 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bengong Zhang | 1 | 17 | 4.37 |
| Zhengrong Liu | 2 | 25 | 9.02 |
| Jianfeng Mao | 3 | 148 | 15.07 |