分数阶Kuramoto-Sivashinsky方程的精确行波解  

Exact Traveling Wave Solutions of Fractional Kuramoto-Sivashinsky Equation

作　　者：常晶[1] 刘洋 高忆先[2] CHANG Jing;LIU Yang;GAO Yixian(College of Information Technology,Jilin Agricultural Universit y,Changchun 130118,China;School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)

机构地区：[1]吉林农业大学信息技术学院,长春130118 [2]东北师范大学数学与统计学院,长春130024

出　　处：《吉林大学学报（理学版）》2018年第5期1143-1146,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金青年基金(批准号:11701212)

摘　　要：利用具有两个变量的(G′/G,1/G)-函数展开法,并借助Mathematica科学计算软件,得到时-空分数阶非线性Kuramoto-Sivashinsky方程的双曲函数形式、三角函数形式和有理函数形式的精确行波解.结果表明,(G′/G,1/G)-函数展开法简单有效,并适用于求解其他分数阶非线性偏微分方程的精确行波解.By using two variables(G′/G,1/G)-function expansion method,and with the help of scientific computing software Mathematica,we obtained exact traveling wave solutions of hyperbolic function form,trigonometric f orm,rational function form for the time-space fractional nonlinear Kuramoto-Sivashinsky equation.The results show that the(G′/G,1/G)-function expansion method is simple and effctive,and is suitable for solving exact traveling wave solutions of other fractional nonlinear partial differential equations.

关 键 词：时空分数阶Kuramoto-Sivashinsky方程 精确行波解 (G′/G 1/G)-函数展开法 

分 类 号：O175[理学—数学]