一类广义BBM方程的紧性与非紧性结构

Compact and Noncompact Structures for a Generalized BBM Model

根据数学变换和微分方程降阶方法,研究了一类Benjamin-Bona-Mahony(BBM)方程,得到了这类方程的紧孤子、孤立子、孤波相似解、周期解和代数行波解,并对各类解的物理结构变化给出了充分条件.

A mathematical approach based on mathematical transforms and the reduction of order for solving differential equation is developed to investigate a generalized Benjamin,Bona and Mahony（BBM） equation.Various exact travelling wave solutions of the equation,including compactons,solitons,solitary patterns,periodic solutions and algebraic travelling wave solutions,are derived.The sufficient conditions that determine the physical structures of the solutions are identified.