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Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method

Author

Listed:
  • H. O. Bakodah
  • M. A. Banaja
  • A. A. Alshaery
  • A. A. Al Qarni

Abstract

In this paper, we present new numerical results for the dispersive optical soliton solutions of the nonlinear Schrödinger-Hirota equation. The spatio-temporal dispersion term is included, in addition to group velocity dispersion Kerr law of nonlinearity are studied. A general recursive numerical scheme for the equation is devised via the Improved Adomian Decomposition Method (IADM) and further sought for some analytical results for validation. The scheme is shown to be efficient and possessed high level of accuracy as demonstrated.

Suggested Citation

  • H. O. Bakodah & M. A. Banaja & A. A. Alshaery & A. A. Al Qarni, 2019. "Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-6, May.
    • Handle: RePEc:hin:jnlmpe:2960912
    DOI: 10.1155/2019/2960912
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    Cited by:

    1. Alyaa A. Al-Qarni & Huda O. Bakodah & Aisha A. Alshaery & Anjan Biswas & Yakup Yıldırım & Luminita Moraru & Simona Moldovanu, 2022. "Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm," Mathematics, MDPI, vol. 10(1), pages 1-11, January.
    2. Alrashed, Reyouf & Djob, Roger Bertin & Alshaery, A.A. & Alkhateeb, Sadah A. & Nuruddeen, R.I., 2022. "Collective variables approach to the vector-coupled system of Chen-Lee-Liu equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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