Name
Title | ||
|---|---|---|
New exact solutions for some nonlinear differential equations using symbolic computation |
Abstract | ||
|---|---|---|
Based on computerized symbolic computation and a new general ansatze, a generalized tanh-function method for constructing multiple travelling wave solutions of nonlinear evolution equations (NEEs) is presented and implemented in a computer algebraic system. Applying the generalized method, with the aid of Maple, we consider some NEEs with physics interests. As a result, we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh-function method and other more sophisticated methods. More importantly, for some equations, we also obtain other new and more general solutions at same time. The results include kink-profile solitary-wave solutions, bell-profile solitary-wave solutions, periodic wave solutions, rational solutions, singular solutions and new formal solutions. The properties of the new soliton solutions for WBK equations are shown by some figures. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1016/S0096-3003(03)00142-5 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Nonlinear evolution equations,Exact solutions,Symbolic computation,Riccati equation | Exact solutions in general relativity,Soliton,Differential equation,Mathematical optimization,Nonlinear system,Algebraic number,Mathematical analysis,Symbolic computation,Riccati equation,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
149 | 1 | Applied Mathematics and Computation |
Citations | PageRank | References |
13 | 5.41 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yong Chen | 1 | 47 | 16.16 |
| Xuedong Zheng | 2 | 25 | 7.15 |
| Biao Li | 3 | 48 | 15.36 |
| Hongqing Zhang | 4 | 138 | 48.35 |