具有符号计算的(2+1)维Boiti-Leon-Pempinelli系统的精确解  

Exact Solutions of (2+1)-Dimensional Boiti-Leon-Pempinelli System with Symbolic Computation

作　　者：陈静 Chen Jing(School of Mathematics and Stasistics,Chuxiong Normal University,Chuxiong Yunnan 675000,China)

机构地区：[1]楚雄师范学院数学与统计学院,云南楚雄675000

出　　处：《曲靖师范学院学报》2018年第3期15-18,共4页Journal of Qujing Normal University

摘　　要：采用广义(G'/G)扩张法构造了(2+1)维Boiti-Leon-Pempinelli系统的精确解.得到了具有任意函数的非行波解,包括双曲函数解、三角函数解和有理解.若赋予参数不同的取值,会得到更多的解.结果表明,广义(G'/G)扩张法在符号计算的帮助下,为求解数学物理中高维非线性偏微分方程提供了一种有效的方法.In this paper,the generalized （G＇/G）-expansion method is used to construct exact solutions of the（2 ＋ 1）-dimensional Boiti-Leon-Pempinelli system. As a result,non-travelling wave solutions with arbitrary functions are obtained including hyperbolic function solutions,trigono-metric function solutions and rational solutions. If the parameters take different values,some more solutions are derived. It is shown that the generalized （G＇/G）-expansion method,with the help of symbolic computation,provides an effective and powerful method for solving high-dimensional nonlinear partial differential equations in mathematical physics.

关 键 词：(2+1)维Boiti-Leon-Pempinelli系统 广义(G'/G)扩张法 双曲函数解 三角函数解 有理解 

分 类 号：O241.82[理学—计算数学]