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Spatial solitons in periodic Kerr media with fractional diffraction: variational approach

MAHBOUBEH GHALANDARI1,*

Affiliation

  1. Department of Energy Engineering and Physics, University of Science and Technology of Mazandaran, Behshahr, Iran

Abstract

The dynamics of spatial solitons in a spatially modulated nonlinear medium are the focus of this research. For the first time, periodic self-focusing effects and fractional diffraction are both incorporated into the wave equation that governs this system. A numerical approach was implemented to resolve the equation, which was derived from the explicit Runge-Kutta method (4,5 order) and the Euler-Lagrange variational principle. Our research concentrates on the impact of oscillations in the nonlinearity strength associated with periodic Kerr self-focusing on the system's critical physical characteristics, including oscillations in peak intensity and changes in soliton width..

Keywords

Spatial soliton, Variational approach, Runge-Kutta, Periodic self-focusing.

Submitted at: March 14, 2025
Accepted at: Oct. 14, 2025

Citation

MAHBOUBEH GHALANDARI, Spatial solitons in periodic Kerr media with fractional diffraction: variational approach, Journal of Optoelectronics and Advanced Materials Vol. 27, Iss. 9-10, pp. 439-445 (2025)