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Optical Dromions and Domain Walls with the Kundu – Mukherjee – Naskar Equation by the Laplace – Adomian Decomposition Scheme

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Abstract

This paper numerically addresses optical dromions and domain walls that are monitored by Kundu – Mukherjee – Naskar equation. The Kundu – Mukherjee – Naskar equation is considered because this model describes the propagation of soliton dynamics in optical fiber communication system. The scheme employed in this work is Laplace – Adomian decomposition type. The accuracy of the scheme is \(O(10^{-8})\) and the physical structure of the obtained solutions are shown by graphic illustration in order to give a better understanding on the dynamics of both optical dromions and domain walls.

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Funding

The research work of the fourth author (AKA) was supported by the Deanship of Scientific Research (DSR) of King Abdulaziz University, Jeddah, Saudi Arabia, under Grant No. (KEP-64-130-38) and he is thankful for it.

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Authors and Affiliations

  1. Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana-Cuajimalpa, Vasco de Quiroga 4871, 05348, Mexico City, Mexico

    Oswaldo González-Gaxiola

  2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, AL 35762-4900, Normal, USA

    Anjan Biswas

  3. Department of Mathematics, King Abdulaziz University, 21589, Jeddah, Saudi Arabia

    Anjan Biswas & Abdullah Kamis Alzahrani

  4. Department of Applied Mathematics, National Research Nuclear University MEPhI, Kashirskoe sh. 31, 115409, Moscow, Russia

    Anjan Biswas

  5. Department of Mathematics and Statistics, Tshwane University of Technology, 0008, Pretoria, South Africa

    Anjan Biswas

  6. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603, Kuala Lumpur, Malaysia

    Mir Asma

Authors
  1. Oswaldo González-Gaxiola
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  2. Anjan Biswas
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  3. Mir Asma
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  4. Abdullah Kamis Alzahrani
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Corresponding authors

Correspondence to Oswaldo González-Gaxiola, Anjan Biswas, Mir Asma or Abdullah Kamis Alzahrani.

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The authors declare that they have no conflicts of interest.

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MSC2010

78A60

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González-Gaxiola, O., Biswas, A., Asma, M. et al. Optical Dromions and Domain Walls with the Kundu – Mukherjee – Naskar Equation by the Laplace – Adomian Decomposition Scheme. Regul. Chaot. Dyn. 25, 338–348 (2020). https://doi.org/10.1134/S1560354720040036

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  • DOI: https://doi.org/10.1134/S1560354720040036

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