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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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    1. Zheng, Bailin & Kai, Yue & Xu, Wenlong & Yang, Nan & Zhang, Kai & Thibado, P.M., 2019. "Exact traveling and non-traveling wave solutions of the time fractional reaction–diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 532(C).
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    4. Bo Ren & Ji Lin & Zhi-Mei Lou, 2019. "A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions," Complexity, Hindawi, vol. 2019, pages 1-10, June.
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    Cited by:

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    6. 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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