Abstract
This paper reveals soliton solutions to magneto–optic waveguides that maintain parabolic–nonlocal law of refractive index. The unified Riccati equation expansion together with extended auxiliary equation approach together reveal bright, dark, singular as well as straddled optical solitons. These soliton solutions are obtained through a limiting process when the modulus of ellipticity approaches unity. Finally, the conservation laws are also listed.
•Soliton solutions to magneto–optic waveguides are studied analytically.•Parabolic–nonlocal law of refractive index is considered.•The unified Riccati equation expansion and the extended auxiliary equation approaches are implemented.•Bright, dark, singular as well as straddled optical solitons are revealed.•Finally, the conservation laws are also listed.