A new general algebraic method with symbolic computation and its application to two nonlinear differential equations with nonlinear terms of any order

作者：Wang Jing^*; Zhang Xiaoling; Song Lina; Zhang Hongqing

来源：Applied Mathematics and Computation, 2006, 182(2): 1330-1340.

DOI：10.1016/j.amc.2006.05.018

• 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

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.

• 出版日期2006-11-15
• 单位河南理工大学; 大连理工大学