Research PaperNo Access

Higher-order localized wave solutions to a coupled fourth-order nonlinear Schrödinger equation

N. Song

https://orcid.org/0000-0002-0629-7015

Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China

E-mail Address: songni@nuc.edu.cn

Corresponding author.

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H. J. Shang

Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China

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Y. F. Zhang

Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China

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, and

W. X. Ma

Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China

Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA

School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa

E-mail Address: mawx@cas.usf.edu

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https://doi.org/10.1142/S0217984922501469Cited by:0 (Source: Crossref)

Abstract

In this paper, higher-order localized waves for a coupled fourth-order nonlinear Schrödinger equation are investigated via a generalized Darboux transformation. The $N$ $N$ th-order localized wave solutions of this equation are derived via Lax pair and Darboux matrix. Evolution plots are made and dynamical characteristics of the obtained higher-order localized waves are analyzed through numerical simulation. It is observed that rogue waves coexist with dark–bright solitons and breathers. The presented results also show that different values of the involved parameters have diverse effects on the higher-order localized waves.

Keywords:

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