Title | ||
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A new general algebraic method with symbolic computation and its application to two nonlinear differential equations with nonlinear terms of any order |
Abstract | ||
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In this paper, with the help of symbolic computation system Maple, we present a new generalized Riccati equation rational expansion method and successfully obtain some new rational formal solutions of some nonlinear partial differential equation with nonlinear terms of any order. The presented method can also be applied to other nonlinear evolution equations with nonlinear terms of any order. |
Year | DOI | Venue |
---|---|---|
2006 | 10.1016/j.amc.2006.05.018 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Generalized Riccati equation rational expansion method,Single nonlinear reaction–diffusion equation with nonlinear terms of any order,Compound KdV–Burgers equation with nonlinear terms of any order,Symbolic computation | Differential equation,Mathematical optimization,Nonlinear system,Mathematical analysis,Symbolic computation,Burgers' equation,Riccati equation,Initial value problem,Partial differential equation,Mathematics,Split-step method | Journal |
Volume | Issue | ISSN |
182 | 2 | 0096-3003 |
Citations | PageRank | References |
1 | 0.63 | 0 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jing Wang | 1 | 38 | 6.34 |
Xiaoling Zhang | 2 | 1 | 0.63 |
Lina Song | 3 | 1 | 0.63 |
Hongqing Zhang | 4 | 138 | 48.35 |