修正Jaulent-Miodek方程组的G′/G展开和精确解  

G′/G expansion and exact solutions of modified Jaulent-Miodek Equations

作　　者：陈南 CHEN Nan(College of Computer and Artificial Intelligence, Xiamen Institute of Technology, Xiamen 361021, China)

机构地区：[1]厦门工学院计算机与人工智能学院,福建厦门361021

出　　处：《邵阳学院学报（自然科学版）》2021年第4期7-13,共7页Journal of Shaoyang University：Natural Science Edition

基　　金：福建省中青年教师教育科研项目(JAT190958);厦门工学院校级科研基金项目(KYT2019021)。

摘　　要：利用G′/G展开法对修正Jaulent-Miodek方程组进行求解。首先,假设方程组具有G′/G形式的解,将其代入通过行波变换得到的常微分方程组,通过齐次平衡法,确定出参数m。通过求解合并G′/G同次幂项的系数得到的关于参数ai非线性代数方程组,确定出参数的值,返回原来的变量,得到了双曲函数、三角函数、有理函数6组不同形式的精确解。The G′/G expansion method was employed to solve the modified Jaulent-Miodek Equations.Firstly,the equations were assumed having formal solutions,then they were brought into the ordinary differential equations obtained by traveling wave transformation.And the values of parameters were determined with the homogeneous equilibrium method.By solving the nonlinear algebraic equations about Parameter a obtained by combining the coefficients of G′/G with the same power term,the values of parameters were determined and the original variables were returned.Six different forms of exact solutions of hyperbolic function,trigonometric function and rational function were obtained.

关 键 词：修正Jaulent-Miodek方程组 G′/G展开法 行波变换 精确解 

分 类 号：O174.55[理学—数学]