(2+1)维Potential Boiti-Leon-Manna-Pempinelli方程的对称、约化和精确解  

Symmetries,reductions and exact solutions of (2+1) dimensional potential Boiti-Leon-Manna-Pempinelli equation

作　　者：刘勇[1] 刘希强[1] 王振立[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《量子电子学报》2014年第5期533-540,共8页Chinese Journal of Quantum Electronics

基　　金：国家自然科学基金委员会-中国工程物理研究院联合基金(11076015)资助课题

摘　　要：利用经典李群法得到了(2+1)维Potential Boiti-Leon-Manna-Pempinelli(简称PBLMP)方程的对称、约化,通过解约化方程得到了该方程的一些精确解,包括有理函数解,双曲函数解,三角函数解,Jacobi椭圆函数解。Using the classical Lie group method, the symmetries and reductions of （2＋l）-dimensional potential Boiti-Leon-Manna-Pempinelli （PBLMP） equation were obtained. At the same time, a great many of solutions were derived by solving the reduction equations, including the rational functions, hyperbolic functions, trigonometric funetiohs solution and Jacobi elliptic function solution.

关 键 词：经典李群法 PBLMP方程 对称、约化 精确解 

分 类 号：O175.2[理学—数学]