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

• 来源期刊: 中国物理B（英文版）
• 关键词: nonlinear evolution equations new expansion method mBBM model exact solutions
• 年，卷（期）: 2008,（2）
• 页码范围: 399-402
• 页数: 4页
• 语种: 英文

摘要

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,themethod 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.