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

作　　者：李楠[1] 谢芝[2] 

机构地区：[1]西南财经大学经济数学学院,成都610074 [2]西南石油大学油气储运系,四川新都644000

出　　处：《西南师范大学学报（自然科学版）》2011年第2期1-5,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：教育部重点资助项目(109140)

摘　　要：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.

关 键 词：非线性方程 紧孤子 孤立子 周期解 高阶项 

分 类 号：O175.29[理学—数学]