New exact solutions to MKDV-Burgers equation and (2 1)-dimensional dispersive long wave equation via extended Riccati equation method

作者：Kong Cuicui^*; Wang Dan; Song Lina; Zhang Hongqing

来源：Chaos Solitons & Fractals, 2009, 39(2): 697-706.

DOI：10.1016/j.chaos.2007.01.083

In this paper, with the aid of symbolic computation and a general ansatz, we presented a new extended rational expansion method to construct new rational formal exact solutions to nonlinear partial differential equations. In order to illustrate the effectiveness of this method, we apply it to the MKDV-Burgers equation and the (2 1)-dimensional dispersive long wave equation, then several new kinds of exact solutions are successfully obtained by using the new ansatz. The method can also be applied to other nonlinear partial differential equations.

• 出版日期2009-1-30
• 单位大连理工大学