Cubic–quartic optical solitons in birefringent fibers with four forms of nonlinear refractive index

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This paper studies cubic–quartic solitons in birefringent fibers having Kerr, parabolic, quadratic–cubic and non–local laws of refractive index. Bright, dark and singular solitons are recovered by Riccati function approach, sine-Gordon function technique and F-expansion scheme.