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Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm

Author

Listed:
  • Alyaa A. Al-Qarni

    (Department of Mathematics, College of Science, University of Bisha, P.O. Box 551, Bisha 61922, Saudi Arabia)

  • Huda O. Bakodah

    (Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21959, Saudi Arabia)

  • Aisha A. Alshaery

    (Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21959, Saudi Arabia)

  • Anjan Biswas

    (Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia
    Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Department of Applied Sciences, Cross–Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201 Galati, Romania
    Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa)

  • Yakup Yıldırım

    (Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, Cyprus)

  • Luminita Moraru

    (Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania)

  • Simona Moldovanu

    (Department of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania)

Abstract

The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:1:p:138-:d:717001
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    References listed on IDEAS

    as
    1. 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.
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    Cited by:

    1. Badshah, Fazal & Tariq, Kalim U. & Bekir, Ahmet & Tufail, R. Nadir & Ilyas, Hamza, 2024. "Lump, periodic, travelling, semi-analytical solutions and stability analysis for the Ito integro-differential equation arising in shallow water waves," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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