A Generalized Sub-ODE Method and Applications for Nonlinear Evolution Equations
Feng Xu
School of Science, Shandong University of Technology, Zhangzhou Road 12, Zibo, Shandong, 255049, China.
Qinghua Feng *
School of Science, Shandong University of Technology, Zhangzhou Road 12, Zibo, Shandong, 255049, China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, a generalized Bernoulli sub-ODE method is applied to seek exact solutions for nonlinear evolution equations. This method is based on the homogeneous principle, and is effective in seeking new travelling wave solutions. As applications, we apply this method to solve (2+1) dimensional Boussinesq and Kadomtsev-Petviashvili (BKP) equation, and with the aid of mathematical software, some new exact travelling wave solutions for this equation are found.
Keywords: Bernoulli sub-ODE method, travelling wave solutions, (2 1) dimensional BKP equation, nonlinear evolution equation