Higher-order rogue waves solutions of the modified Gerdjikov-Ivanov equation with dispersion via generalized Darboux transformation

被引：25

作者：

Guan, Xue ^{[1
]}

Yang, Hujiang ^{[1
]}

Meng, Xiankui ^{[1
]}

Liu, Wenjun ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 136卷

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

Gerdjikov-Ivanov equation; Localized waves; Generalized Darboux transformation; Dynamic properties; SOLITONS;

D O I：

10.1016/j.aml.2022.108466

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Higher-order rogue wave solutions have vital applications in nonlinear physics. The new modified Gerdjikov-Ivanov equation with dispersion is derived for the first time in this paper. Based on the extend Lax pair, the localized waves of the new model are obtained via generalized Darboux transformation, the higher -order rogue solutions are presented graphically and their dynamic properties are analyzed. The results obtained have spurred the study of higher-order dispersion equations in nonlinear optics.(c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：5

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