A new expansion method of first order nonlinear ordinary differential equation with at most a sixth-degree nonlinear term and its application to mBBM model

作者：Pan Jun Ting; Gong Lun Xun^*

来源：Chinese Physics B, 2008, 17(2): 399-402.

• nonlinear evolution equations
• new expansion method
• mBBM model
• exact solutions

Based on a first order nonlinear ordinary differential equation with at most a sixth-degree nonlinear term which is extended from a type of elliptic equation, and by converting it into a new expansion form, this paper proposes a new algebraic method to construct exact solutions for nonlinear evolution equations. Being concise and straightforward, the method is applied to modified Benjamin-Bona-Mahony (mBBM) model, and some new exact solutions to the system are obtained. The algorithm is of important significance in exploring exact solutions for other nonlinear evolution equations.

• 出版日期2008-2
• 单位贵州师范大学