Optical solitons solutions for perturbed time fractional nonlinear Schrodinger equation via two strategic algorithms

In this work, two algorithms namely, the generalized exp(-w([xi])) and rational (G'/[G.sup.2])-expansion methods are suggested for constructing new optical solitons solutions for the perturbed fractional nonlinear Schrodinger equation. The solutions include hyperbolic, trigonometric or rational...

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Veröffentlicht in:AIMS Mathematics 2020-01, Vol.5 (3), p.2057-2070
Hauptverfasser: Owyed, S., A. Abdou, M., Abdel-Aty, A., Dutta, H.
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Sprache:eng
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Zusammenfassung:In this work, two algorithms namely, the generalized exp(-w([xi])) and rational (G'/[G.sup.2])-expansion methods are suggested for constructing new optical solitons solutions for the perturbed fractional nonlinear Schrodinger equation. The solutions include hyperbolic, trigonometric or rational function. Our results indicate that, group of new solutions are obtained with much reliability, accuracy and efficiency of the proposed methods. Eventually, our pending may become of wide relevance in addition to realize the main features and even propagation of the nonlinear waves in fractal medium. Keywords: optical soliton solutions; generalized exp(-w([xi])) method; extended rational (G'/[G.sup.2]) expansion method; the perturbed fractional time nonlinear Schrodinger equation; conformable fractional Mathematics Subject Classification: 35A20, 35A99, 83C15, 65Z05
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020136