Rogue waves of the sixth-order nonlinear Schrodinger equation on a periodic background  

作　　者：Wei Shi Zhaqilao 

机构地区：[1]College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022.China [2]Center for Applied Mathematical Science,Inner Mongolia Hohhot 010022 China

出　　处：《Communications in Theoretical Physics》2022年第5期1-9,共9页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11861050,11261037);the Natural Science Foundation of Inner Mongolia Autonomous Region,China(Grant No.2020LH01010);the Inner Mongolia Normal University Graduate Students Research and Innovation Fund(Grant No.CXJJS21119)。

摘　　要：In this paper,we construct the rogue wave solutions of the sixth-order nonlinear Schrodinger equation on a background of Jacobian elliptic functions dn and cn by means of the nonlinearization of a spectral problem and Darboux transformation approach.The solutions we find present the dynamic phenomena of higher-order nonlinear wave equations.

关 键 词：rogue wave on a periodic background sixth-order nonlinear Schrodinger equation Darboux transformation Jacobian elliptic function 

分 类 号：O175[理学—数学]