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Homoclinic breaters, mulitwave, periodic cross-kink and periodic cross-rational solutions for improved perturbed nonlinear Schrödinger's with quadratic-cubic nonlinearity

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  • Rizvi, Syed T.R.
  • Seadawy, Aly R.
  • Batool, Tahira
  • Ashraf, M. Aamir

Abstract

In this work, we study the soliton solutions for the improved perturbed nonlinear Schrödinger's equation (PNLSE) with quadratic-cubic law nonlinearity (QCLN) by utilizing the log transformation and symbolic computation with the ansatz function schemes. We obtain M -shaped rational soliton, double exponential form, periodic cross-kink (PCK), periodic cross-rational (PCR), multi-waves and homoclinic breather approach. We'll show that M -shaped rational solitons with kink and periodic waves have unique structures and highly interesting interactional behavior. Furthermore, we'll discuss the dynamics of obtained solutions with the help of graphs by assigning appropriate values to the parameters.

Suggested Citation

  • Rizvi, Syed T.R. & Seadawy, Aly R. & Batool, Tahira & Ashraf, M. Aamir, 2022. "Homoclinic breaters, mulitwave, periodic cross-kink and periodic cross-rational solutions for improved perturbed nonlinear Schrödinger's with quadratic-cubic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s096007792200563x
    DOI: 10.1016/j.chaos.2022.112353
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    References listed on IDEAS

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    1. Mustafa Inc & Aliyu Isa Aliyu & Abdullahi Yusuf & Dumitru Baleanu, 2018. "Optical solitons, conservation laws and modulation instability analysis for the modified nonlinear Schrödinger’s equation for Davydov solitons," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 32(7), pages 858-873, May.
    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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    1. Rafiq, Muhammad Naveed & Chen, Haibo, 2024. "Dynamics of three-wave solitons and other localized wave solutions to a new generalized (3+1)-dimensional P-type equation," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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