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

S. Owyed; M. A. Abdou; A. Abdel-Aty; H. Dutta; S. Owyed; M. A. Abdou; A. Abdel-Aty; H. Dutta

doi:10.3934/math.2020136

AIMS Mathematics

2020, Volume 5, Issue 3: 2057-2070. doi: 10.3934/math.2020136

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

1.
Department of Mathematics, College of Sciences, University of Bisha, P. O. Box 344, Bisha, 61922, Saudi Arabia
2.
Department of Physics, College of Sciences, University of Bisha, P. O. Box 344, Bisha, 61922, Saudi Arabia
3.
Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
4.
Physics Department, Faculty of Science, Al-Azhar University, 71524 Assiut, Egypt
5.
Department of Mathematics, Faculty of Science, Gauhati University, Guwahati 781014, India

Received: 14 November 2019 Accepted: 31 January 2020 Published: 24 February 2020
MSC : 35A20, 35A99, 83C15, 65Z05

In this work, two algorithms namely, the generalized exp(-w(ξ)) and rational (G'/G²)-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.
Citation: S. Owyed, M. A. Abdou, A. Abdel-Aty, H. Dutta. Optical solitons solutions for perturbed time fractional nonlinear Schrodinger equation via two strategic algorithms[J]. AIMS Mathematics, 2020, 5(3): 2057-2070. doi: 10.3934/math.2020136

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Abstract

In this work, two algorithms namely, the generalized exp(-w(ξ)) and rational (G'/G²)-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.

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