Title
A new general algebraic method with symbolic computation and its application to two nonlinear differential equations with nonlinear terms of any order
Abstract
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 Wang1386.34
Xiaoling Zhang210.63
Lina Song310.63
Hongqing Zhang413848.35