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Optical Solitons with Cubic-Quintic-Septic-Nonic Nonlinearities and Quadrupled Power-Law Nonlinearity: An Observation

Author

Listed:
  • Islam Samir

    (Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo 11566, Egypt)

  • Ahmed H. Arnous

    (Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, Cairo 11837, Egypt)

  • Yakup Yıldırım

    (Department of Computer Engineering, Biruni University, Istanbul 34010, Turkey)

  • Anjan Biswas

    (Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245, USA
    Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia
    Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201 Galati, Romania)

  • Luminita Moraru

    (Department of Chemistry, Physics and Environment, Faculty of Sciences 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 paper considers the enhanced Kudryashov’s technique to retrieve solitons with a governing model having cubic-quintic-septic-nonic and quadrupled structures of self-phase modulation. The results prove that it is redundant to extend the self-phase modulation beyond cubic-quintic nonlinearity or dual-power law of nonlinearity.

Suggested Citation

  • Islam Samir & Ahmed H. Arnous & Yakup Yıldırım & Anjan Biswas & Luminita Moraru & Simona Moldovanu, 2022. "Optical Solitons with Cubic-Quintic-Septic-Nonic Nonlinearities and Quadrupled Power-Law Nonlinearity: An Observation," Mathematics, MDPI, vol. 10(21), pages 1-9, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4085-:d:961079
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    References listed on IDEAS

    as
    1. Liu, Wenjun & Zhang, Yujia & Wazwaz, Abdul Majid & Zhou, Qin, 2019. "Analytic study on triple-S, triple-triangle structure interactions for solitons in inhomogeneous multi-mode fiber," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 325-331.
    2. Kohl, Russell W. & Biswas, Anjan & Zhou, Qin & Ekici, Mehmet & Alzahrani, Abdullah Kamis & Belic, Milivoj R., 2020. "Optical soliton perturbation with polynomial and triple-power laws of refractive index by semi-inverse variational principle," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    3. Nikolay A. Kudryashov, 2022. "Optical Solitons of the Generalized Nonlinear Schrödinger Equation with Kerr Nonlinearity and Dispersion of Unrestricted Order," Mathematics, MDPI, vol. 10(18), pages 1-9, September.
    4. Kudryashov, Nikolay A., 2020. "Highly dispersive optical solitons of equation with various polynomial nonlinearity law," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    Full references (including those not matched with items on IDEAS)

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    Keywords

    solitons; dual-power; Kudryashov;
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