Rogue waves of the sixth-order nonlinear Schr?dinger equation on a periodic background

作     者：Wei Shi Zhaqilao 

作者机构：College of Mathematics Science Inner Mongolia Normal University Center for Applied Mathematical Science 

出 版 物：《Communications in Theoretical Physics》 (理论物理(英文版))

年 卷 期：2022年第74卷第5期

页      面：5-13页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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 Schr?dinger 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.