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Solitons and other wave solutions for (2+1)-dimensional perturbed nonlinear Schrödinger equation by modified extended direct algebraic method

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Abstract

In the ongoing study, the modified extended direct algebraic method (MEDAM) is used to study an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation (PNLSE) with Kerr law nonlinearity in a nano optical fiber. This equation mimic the wave actuation through optical fibers. Different optical solitary waves are established such bright, dark and singular solitons. Moreover, we extract several kind of solutions like hyperbolic and Weierstrass elliptic solutions. To show the physical characteristics of the established solutions, many selected solutions are visually depicted.

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Authors and Affiliations

  1. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt

    Mohammed H. Ali & Hamdy M. Ahmed

  2. Department of Mathematics, Faculty of Science, Azhar University, Cairo, Egypt

    Hassan M. El-Owaidy & Ahmed A. El-Deeb

  3. Department of Physics and Engineering Mathematics, Faculty of engineering, Ain Shams University, Abbassia, Cairo, Egypt

    Islam Samir

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  1. Mohammed H. Ali
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  2. Hassan M. El-Owaidy
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  3. Hamdy M. Ahmed
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  4. Ahmed A. El-Deeb
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  5. Islam Samir
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The authors declare that the study was realized in collaboration with the same responsibility. All authors read and approved the manuscript.

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Correspondence to Hamdy M. Ahmed.

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Ali, M.H., El-Owaidy, H.M., Ahmed, H.M. et al. Solitons and other wave solutions for (2+1)-dimensional perturbed nonlinear Schrödinger equation by modified extended direct algebraic method. J Opt (2023). https://doi.org/10.1007/s12596-023-01421-5

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