Abstract
New and novel solitons and other solutions to the cubic–quartic nonlinear Schrödinger's equation in a non-Kerr law media with four laws of non-linearity namely, parabolic law, quadratic–cubic law, the non-local law and weak non-local law have been found in this article. The unified Riccati equation expansion method is applied in this paper. This equation governs the propagation of solitons through nonlinear optical fibers. This yields bright, dark, singular optical solitons and other solutions that are all presented along with their respective parameter restrictions.
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