Matrix Integrable Fourth-Order Nonlinear Schr?dinger Equations and Their Exact Soliton Solutions

doi:10.1088/0256-307X/39/10/100201

Chin. Phys. Lett.

2022, Vol. 39

Issue (10): 100201 DOI: 10.1088/0256-307X/39/10/100201

GENERAL

Matrix Integrable Fourth-Order Nonlinear Schr?dinger Equations and Their Exact Soliton Solutions

Wen-Xiu Ma^*

¹Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
²Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
³Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
⁴School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa

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Wen-Xiu Ma 2022 Chin. Phys. Lett. 39 100201

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Abstract We construct matrix integrable fourth-order nonlinear Schrödinger equations through reducing the Ablowitz–Kaup–Newell–Segur matrix eigenvalue problems. Based on properties of eigenvalue and adjoint eigenvalue problems, we solve the corresponding reflectionless Riemann–Hilbert problems, where eigenvalues could equal adjoint eigenvalues, and formulate their soliton solutions via those reflectionless Riemann–Hilbert problems. Soliton solutions are computed for three illustrative examples of scalar and two-component integrable fourth-order nonlinear Schrödinger equations.

Received: 03 August 2022 Published: 14 September 2022

PACS:	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/39/10/100201 OR https://cpl.iphy.ac.cn/Y2022/V39/I10/100201

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	Wen-Xiu Ma

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