Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation

We examine an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial derivatives in this paper. We develop various optical solutions to the equation under study using the Jacobi elliptic expansion method. We in...

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Bibliographic Details
Main Authors: Karmina K. Ali, Sibel Tarla, Mohamed R. Ali, Abdullahi Yusuf
Format: Article
Language:English
Published: Elsevier 2023-02-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379723000487
Description
Summary:We examine an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial derivatives in this paper. We develop various optical solutions to the equation under study using the Jacobi elliptic expansion method. We investigate the consequences of nonlinearity and spatial dispersion in spatial directions x and y. Furthermore, by investigating the stability condition of this nonlinear equation, we derive the linear stability analysis. The innovative evolutionary behaviors in the 3-dimensional profile are provided under constraint circumstances to indicate the wave propagation direction.
ISSN:2211-3797