空时分数阶simplified modified Camassa-Holm方程的新精确解  

New exact solutions for the space-time fractional simplified modified Camassa-Holm equation

作　　者：黄春[1] Huang Chun(Faculty of Education,Sichuan Vocational and Technical College,Suining 629000,China)

机构地区：[1]四川职业技术学院教师教育系,四川遂宁629000

出　　处：《六盘水师范学院学报》2020年第6期41-45,共5页Journal of Liupanshui Normal University

基　　金：2018年度四川省教育厅科研项目“几类非线性偏微分方程精确解的构造”(18ZB0537)。

摘　　要：借助分数阶复变换,将分数阶偏微分方程转化为常微分方程,然后应用首次积分法,得到空时分数阶simpli⁃fied modified Camassa-Holm方程的新精确解,其中包括孤立波解、周期波解、有理函数解,丰富其精确解解系。With the aid of the fractional complex transformation,the space-time fractional simplified modi⁃fied Camassa-Holm equation is converted to a ordinary differential equation.Then we apply the first integral method to construct the exact solutions of the equation.Moreover,a series of new explicit solutions were ob⁃tained,including solitary wave solutions,periodic wave solutions and rational solutions,which enriched the for⁃mer results.

关 键 词：首次积分法 空时分数阶simplified modified Camassa-Holm方程 精确解 

分 类 号：O175.29[理学—数学]