正余弦函数法结合sine-Gordon方程的解求BBM方程的新行波解  

The sine-cosine function method combines with the solution of the sine-Gordon equation to calculate the new traveling wave solution of the BBM equation

作　　者：顾重秀 林府标 GU Chongxiu;LIN Fubiao(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang,Guizhou 550025,China)

机构地区：[1]贵州财经大学数统学院,贵州贵阳550025

出　　处：《贵州师范大学学报（自然科学版）》2023年第3期46-50,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：贵州省科技计划基金项目(黔科合基础-ZK[2022]一般021);贵州省科技计划基金项目(黔科合基础[2019]1051);2021年度贵州财经大学校级项目资助(2021KYYB01)。

摘　　要：为研究BBM方程的解析解法和行波解。首先用试探函数法获得了sine-Gordon方程及约化方程的精确解,然后采用sine-Gordon方程的约化方程和精确解构造了正余弦函数法,最后利用正余弦函数法找到了BBM方程的许多新显式行波解。The analytical solving methods and travelling wave solutions of BBM equation are investigated in this paper.Firstly,the exact solutions of sine-Gordon equation and corresponding reduced equation are obtained by the method of trial function.Secondly,the method of sine and cosine functions is constructed by using the reduced equation and exact solutions of sine-Gordon equation.Finally,many new explicit travelling wave solutions of BBM equation are found by using the method of sine and cosine functions.

关 键 词：SINE-GORDON方程 BBM方程 正余弦函数法 行波解 

分 类 号：O175[理学—数学]