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

• Published in: Results in physics Vol. 45; p. 106255
• Main Authors: Ali, Karmina K., Tarla, Sibel, Ali, Mohamed R., Yusuf, Abdullahi
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.02.2023; Elsevier
• Subjects: Jacobi elliptic function expansion technique; Perturbed nonlinear Schrödinger equation; Stability analysis; Perturbed nonlinear Schrödinger equation; Jacobi elliptic function expansion technique; Stability analysis
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2023.106255

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. •An extended (2+1)-dimensional perturbed nonlinear Schrödinger equation has been studied.•Novel optical soliton solutions have been reported.•Modulation instability analysis for the governing equation have been established.•Physical features for the obtained solutions have been illustrated.