分数阶Schrodinger-Hirota方程的显示解  

Explicit solutions of fractional Schrodinger-Hirota equation

作　　者：何黎霞 孙峪怀 HE Lixia;SUN Yuhuai(School of Computer,Sichuan Technology and Business University,Chengdu 611730,China;School of Mathematics Science,Sichuan Normal University,Chengdu 610011,China)

机构地区：[1]四川工商学院计算机学院,成都611730 [2]四川师范大学数学科学学院,成都610011

出　　处：《黑龙江大学自然科学学报》2022年第2期155-159,共5页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11371267);四川省教育厅重点基金资助项目(2012ZA135)。

摘　　要：借助分数阶复变换和整合分数阶导数,运用完全判别系统法构建分数阶Schrodinger-Hirota方程的显示解。得到系列显示解,包括扭结波解、三角函数解、有理函数解Jacobi椭圆函数解、周期波解和暗孤立波解。With the help of fractional complex transformation and integration of fractional derivatives,complete discrimination system method is applied to construct explicit solutions of fractional Schrodinger-Hirota equation.A series of explicit solutions are obtained,including kink wave solutions,trigonometric function solutions,rational function solutions,Jacobi elliptic function solutions,periodic wave solutions and dark solitary wave solutions.

关 键 词：完全判别系统法 分数阶Schrodinger-Hirota方程 显示解 

分 类 号：O175.29[理学—数学]