Solitions in magneto-optic waveguides with anti-cubic nonlinearity

Elsayed M E Zayed; Mohamed E M Alngar; Reham M A Shohib; Anjan Biswas; Mehmet Ekici; Abdullah Kamis Alzahrani; Milivoj R Belic

doi:10.1016/j.ijleo.2020.165313

Solitions in magneto-optic waveguides with anti-cubic nonlinearity

Optik (Stuttg). 2020 Nov:222:165313. doi: 10.1016/j.ijleo.2020.165313. Epub 2020 Aug 8.

Authors

Elsayed M E Zayed¹, Mohamed E M Alngar¹, Reham M A Shohib¹, Anjan Biswas^{2

3

4}, Mehmet Ekici⁵, Abdullah Kamis Alzahrani³, Milivoj R Belic⁶

Affiliations

¹ Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt.
² Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA.
³ Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia.
⁴ Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Shosse, Moscow-115409, Russian Federation.
⁵ Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey.
⁶ Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar.

Abstract

Optical soliton solutions are recovered for magneto-optic waveguides that maintains anti-cubic form of nonlinear refractive index. The analytical scheme is Jacobi's elliptic function approach. Once the solutions to the governing model are obtained in terms of Jacobi's elliptic functions, the limiting value to it's modulus of ellipticity reveals the complete spectrum of soliton solutions.

Keywords: Magneto–optic; Solitons; anti–cubic nonlinearity.