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Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation

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  • Rizvi, Syed T.R.
  • Seadawy, Aly R.
  • Ahmed, Sarfaraz
  • Younis, Muhammad
  • Ali, Kashif

Abstract

This article possess lump, lump with one kink, lump with two kink, rogue wave and lump interactions with periodic and kink solitons for the generalized unstable space time fractional nonlinear Schrödinger equations. According to theory of dynamical systems, Schrödinger equation may be converted into plane systems. We use various ansatz transformation to obtain these solutions. At the end, we plot graphical representation of our results in distinct dimensions.

Suggested Citation

  • Rizvi, Syed T.R. & Seadawy, Aly R. & Ahmed, Sarfaraz & Younis, Muhammad & Ali, Kashif, 2021. "Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006056
    DOI: 10.1016/j.chaos.2021.111251
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    References listed on IDEAS

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    Cited by:

    1. Aly R. Seadawy & Syed T. R. Rizvi & Hanadi Zahed, 2023. "Stability Analysis of the Rational Solutions, Periodic Cross-Rational Solutions, Rational Kink Cross-Solutions, and Homoclinic Breather Solutions to the KdV Dynamical Equation with Constant Coefficien," Mathematics, MDPI, vol. 11(5), pages 1-16, February.
    2. Hu, Xiang & Yin, Zhixiang, 2022. "A study of the pulse propagation with a generalized Kudryashov equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Zhang, Xin & Shi, Ran, 2022. "Novel fast fixed-time sliding mode trajectory tracking control for manipulator," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    4. Rizvi, Syed T.R. & Seadawy, Aly R. & Farah, N. & Ahmad, S., 2022. "Application of Hirota operators for controlling soliton interactions for Bose-Einstien condensate and quintic derivative nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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