Name
Title | ||
|---|---|---|
New generalized method to construct new non-travelling wave solutions and travelling wave solutions of K-D equations |
Abstract | ||
|---|---|---|
With the aid of computerized symbolic computation, we obtain new types of general solution of a first-order nonlinear ordinary differential equation with six degrees of freedom and devise a new generalized method and its algorithm, which can be used to construct more new exact solutions of general nonlinear differential equations. The (2+1)-dimensional K-D equation is chosen to illustrate our algorithm such that more families of new exact solutions are obtained, which contain non-travelling wave solutions and travelling wave solutions. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1080/00207160701504121 | Int. J. Comput. Math. |
Keywords | Field | DocType |
general solution,dimensional k-d equation,new type,general nonlinear differential equation,computerized symbolic computation,wave solution,travelling wave solution,first-order nonlinear ordinary differential,new generalized method,new non-travelling wave solution,new exact solution,exact solution,ordinary differential equation,degree of freedom,first order,symbolic computation | Mathematical optimization,Traveling wave,Mathematical analysis,Nonlinear partial differential equation,Six degrees of freedom,Symbolic computation,Nonlinear differential equations,Mathematics | Journal |
Volume | Issue | ISSN |
85 | 9 | 0020-7160 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yu-Jie Ren | 1 | 0 | 0.34 |
| Dahai Zhang | 2 | 10 | 0.89 |
| Fang Chen | 3 | 0 | 0.34 |
| Hongqing Zhang | 4 | 138 | 48.35 |