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Extraction of new optical solitons in presence of fourth-order dispersion and cubic-quintic nonlinearity

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Abstract

The objective of the presented piece of work is to explore new forms of soliton solutions of higher order non linear Schrödinger’s equation with fourth-order dispersion and cubic quintic nonlinearity. With the help of Unified method, the exact solutions of the governing model have been achieved in the form of polynomial and rational functions. To numerically verify the obtained solutions, the Residual Power Series Method has been employed. Further, the validity of non-singular solutions has guaranteed by a limitation condition that is graphically illustrated in 3D. The 2D graphical representation are also used to demonstrate the influence of parameters on the predicted non-singular solutions. Comparison between exact and numerical approximations has been illustrated graphically.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan

    Nauman Raza & Farwa Salman

  2. Mathematics Department, Faculty of Science, Taibah University, 41411, Al-Madinah Al-Munawarah, Kingdom of Saudi Arabia

    Aly R. Seadawy

Authors
  1. Nauman Raza
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  2. Aly R. Seadawy
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  3. Farwa Salman
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Correspondence to Aly R. Seadawy.

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I hereby declare that this manuscript is the result of my independent creation under the reviewers’ comments. Except for the quoted contents, this manuscript does not contain any research achievements that have been published or written by other individuals or groups.

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Raza, N., Seadawy, A.R. & Salman, F. Extraction of new optical solitons in presence of fourth-order dispersion and cubic-quintic nonlinearity. Opt Quant Electron 55, 370 (2023). https://doi.org/10.1007/s11082-023-04568-4

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