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Exploring soliton solutions to sixth order dispersive non-linear Schrödinger equation with Kerr law nonlinearity using modified extended direct algebraic method

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Abstract

Optical soliton solutions and other analytic solutions for sixth order dispersive nonlinear Schrödinger equation with Kerr law nonlinearity are investigated using modified extended direct algebraic method. Bright soliton solutions, dark soliton solutions, bright-dark soliton solutions, singular soliton solutions, periodic solutions and hyperbolic solutions are extracted. Moreover, some selected solutions are illustrated graphically to show the physical nature of obtained solutions.

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Authors and Affiliations

  1. Department of Physics and Engineering Mathematics, Faculty of Engineering, Ain Shams University, Abbassia, Cairo, Egypt

    I. Samir & Niveen Badra

  2. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy, El Shorouk City, Cairo, Egypt

    Hamdy M. Ahmed & Ahmed H. Arnous

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  1. I. Samir
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  2. Niveen Badra
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  3. Hamdy M. Ahmed
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  4. Ahmed H. Arnous
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The authors declare that the study was realized in collaboration with the same responsibility. All authors read and approved the manuscript.

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Correspondence to Hamdy M. Ahmed.

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Samir, I., Badra, N., Ahmed, H.M. et al. Exploring soliton solutions to sixth order dispersive non-linear Schrödinger equation with Kerr law nonlinearity using modified extended direct algebraic method. Opt Quant Electron 55, 184 (2023). https://doi.org/10.1007/s11082-022-04459-0

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