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Weierstrass and Jacobi elliptic, bell and kink type, lumps, Ma and Kuznetsov breathers with rogue wave solutions to the dissipative nonlinear Schrödinger equation

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  • Seadawy, Aly R.
  • Rizvi, Syed T.R.
  • Ahmed, Sarfaraz

Abstract

This paper exposes Weierstrass elliptic, Jacobi elliptic, Bell type, kink type, bright soliton, periodic and some other soliton solutions for (1 + 1)-dimensional dissipative nonlinear Schrödinger equation (d-NSLE) by applying newly developed sub-ODE method. The d-NLSE is applied to model the dissipative self-modulating monochromatic waves with dispersion. The lump solutions, lump with one kink, lump periodic, interaction with kink, manifold periodic, Ma breather, Kuznetsov-Ma breather and rogue wave solutions for governing model are derived via symbolic computation with the appropriate transformation function technique.

Suggested Citation

  • Seadawy, Aly R. & Rizvi, Syed T.R. & Ahmed, Sarfaraz, 2022. "Weierstrass and Jacobi elliptic, bell and kink type, lumps, Ma and Kuznetsov breathers with rogue wave solutions to the dissipative nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004684
    DOI: 10.1016/j.chaos.2022.112258
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    References listed on IDEAS

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    1. Yunlong Shi & Baoshu Yin & Hongwei Yang & Dezhou Yang & Zhenhua Xu, 2014. "Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, August.
    2. Seadawy, Aly R. & Bilal, M. & Younis, M. & Rizvi, S.T.R. & Althobaiti, Saad & Makhlouf, M.M., 2021. "Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
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    Cited by:

    1. Cao, Na & Yin, XiaoJun & Bai, ShuTing & LiYangXu,, 2023. "Breather wave, lump type and interaction solutions for a high dimensional evolution model," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    2. Aly R. Seadawy & Syed T. R. Rizvi & Hanadi Zahed, 2023. "Lump-Type Solutions, Lump Solutions, and Mixed Rogue Waves for Coupled Nonlinear Generalized Zakharov Equations," Mathematics, MDPI, vol. 11(13), pages 1-17, June.
    3. Seadawy, Aly R. & Ali, Safdar & Rizvi, Syed T.R., 2022. "On modulation instability analysis and rogue waves in the presence of external potential: The (n + 1)-dimensional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    4. Ali, Karmina K. & Yokus, Asıf & Seadawy, Aly R. & Yilmazer, Resat, 2022. "The ion sound and Langmuir waves dynamical system via computational modified generalized exponential rational function," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    5. Syed T. R. Rizvi & Aly R. Seadawy & Shami A. M. Alsallami, 2023. "Grey-Black Optical Solitons, Homoclinic Breather, Combined Solitons via Chupin Liu’s Theorem for Improved Perturbed NLSE with Dual-Power Law Nonlinearity," Mathematics, MDPI, vol. 11(9), pages 1-19, April.
    6. Kengne, Emmanuel, 2024. "Comment on “Weierstrass and Jacobi elliptic, bell and kink type, lumps, Ma and Kuznetsov breathers with rogue wave solutions to the dissipative nonlinear Schrödinger equation”," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    7. Seadawy, Aly R. & Rizvi, Syed T.R. & Ahmed, Sarfaraz, 2022. "Multiple lump, generalized breathers, Akhmediev breather, manifold periodic and rogue wave solutions for generalized Fitzhugh-Nagumo equation: Applications in nuclear reactor theory," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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