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Structure of optical solitons of resonant Schrödinger equation with quadratic cubic nonlinearity and modulation instability analysis

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  • Seadawy, Aly R.
  • Lu, Dianchen
  • Nasreen, Naila
  • Nasreen, Shamila

Abstract

The resonant nonlinear Schrödinger equation (NLSE) having quadratic-cubic nonlinearity for describing pulse phenomena and studied in nonlinear optics. In this work, we achieved optical solitons and solitary waves solutions of resonant NLSE with nonlinearities of quadratic and cubic by employing F-expansion method. In engineering and applied physics, these solutions have important applications. The stability of model is examined by employing the analysis of modulation instability, which shows that the obtained exact solutions are stable. We also given the movement of some achieved solutions graphically, which facilitates to recognize the physical interpretation of this complex nonlinear model. The achieved results confirm that this method is powerful and easy in applying.

Suggested Citation

  • Seadawy, Aly R. & Lu, Dianchen & Nasreen, Naila & Nasreen, Shamila, 2019. "Structure of optical solitons of resonant Schrödinger equation with quadratic cubic nonlinearity and modulation instability analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119312518
    DOI: 10.1016/j.physa.2019.122155
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    References listed on IDEAS

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    1. Syam Kumar, A.M. & Prasanth, J.P. & Bannur, Vishnu M., 2015. "Quark-gluon plasma phase transition using cluster expansion method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 71-75.
    2. Seadawy, Aly R., 2015. "Nonlinear wave solutions of the three-dimensional Zakharov–Kuznetsov–Burgers equation in dusty plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 439(C), pages 124-131.
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    Citations

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    Cited by:

    1. Ahmad, Hijaz & Seadawy, Aly R. & Khan, Tufail A., 2020. "Study on numerical solution of dispersive water wave phenomena by using a reliable modification of variational iteration algorithm," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 13-23.
    2. Xiaomeng Zhu & Jinkang Cheng & Zhuokai Chen & Guojiang Wu, 2022. "New Solitary-Wave Solutions of the Van der Waals Normal Form for Granular Materials via New Auxiliary Equation Method," Mathematics, MDPI, vol. 10(15), pages 1-16, July.
    3. Feiyun Pei & Guojiang Wu & Yong Guo, 2023. "Construction of Infinite Series Exact Solitary Wave Solution of the KPI Equation via an Auxiliary Equation Method," Mathematics, MDPI, vol. 11(6), pages 1-25, March.

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