Title | ||
---|---|---|
A new Korteweg-de Vries equation-based sub-equation method and its application to the (2 + 1)-dimensional Korteweg-de Vries equation |
Abstract | ||
---|---|---|
With the help of the symbolic computation system Maple, we present Korteweg-de Vries equation-based sub-equation method. Being concise and straightforward, it is applied to the (2 + 1)-dimensional Korteweg-de Vries equation. It is shown that N-soliton solution of the (2 + 1)-dimensional Korteweg-de Vries equation can be found by this new method. The method can be applied to other nonlinear partial differential equations in mathematical physics. © 2006. |
Year | DOI | Venue |
---|---|---|
2007 | 10.1016/j.amc.2006.09.045 | Applied Mathematics and Computation |
Keywords | Field | DocType |
(2 + 1)-dimensional Korteweg-de Vries equation,Korteweg-de Vries equation-based sub-equation method,N-soliton solution,Nonlinear partial differential equations | Soliton,Inverse scattering transform,Dispersionless equation,Kadomtsev–Petviashvili equation,Mathematical analysis,First-order partial differential equation,Initial value problem,Korteweg–de Vries equation,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
187 | 2 | null |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Lina Song | 1 | 8 | 3.16 |
Hongqing Zhang | 2 | 138 | 48.35 |