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

曲靖师范学院学报 ›› 2018, Vol. 37 ›› Issue (3): 15-18.

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

陈静

楚雄师范学院数学与统计学院,云南楚雄 675000

收稿日期:2017-12-20 出版日期:2018-05-26
作者简介:陈静,楚雄师范学院数学与统计学院副教授,主要从事微分方程研究.

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

Chen Jing

School of Mathematics and Stasistics, Chuxiong Normal University, Chuxiong Yunan 675000,China

Received:2017-12-20 Published:2018-05-26

摘要/Abstract

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.

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

Abstract: In this paper, the generalizedG′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 generalizedG′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.

Key words: (2+1)-dimensional Boiti-Leon-Pempinelli system, generalizedG′G-expansion method, hyperbolic function solutions, trigonometric function solutions, rational solutions

中图分类号:

O241.82

陈静. 具有符号计算的(2+1)维Boiti-Leon-Pempinelli系统的精确解[J]. 曲靖师范学院学报, 2018, 37(3): 15-18.

Chen Jing. Exact Solutions of (2+1)-Dimensional Boiti-Leon-Pempinelli System with Symbolic Computation[J]. JOURNAL OF QUJING NORMAL UNIVERSITY, 2018, 37(3): 15-18.