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Regular and Chaotic Dynamics, 2020, Volume 25, Issue 4, Pages 338–348
DOI: https://doi.org/10.1134/S1560354720040036
(Mi rcd1069)
 

This article is cited in 15 scientific papers (total in 15 papers)

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

Oswaldo González-Gaxiolaa, Anjan Biswasbcde, Mir Asmaf, Abdullah Kamis Alzahranid

a Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana-Cuajimalpa, Vasco de Quiroga 4871, 05348 Mexico City, Mexico
b Department of Physics, Chemistry and Mathematics, Alabama A&M University, AL 35762-4900 Normal, USA
c Department of Applied Mathematics, National Research Nuclear University MEPhI, Kashirskoe sh. 31, 115409 Moscow, Russia
d Department of Mathematics, King Abdulaziz University, 21589 Jeddah, Saudi Arabia
e Department of Mathematics and Statistics, Tshwane University of Technology, 0008 Pretoria, South Africa
f Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia
Citations (15)
References:
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.
Keywords: Kundu – Mukherjee – Naskar equation, optical dromions, domain walls, Laplace – Adomian decomposition method, Adomian polynomials.
Funding agency Grant number
Deanship of Scientific Research KEP-64-130-38
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.
Received: 27.04.2020
Accepted: 17.06.2020
Bibliographic databases:
Document Type: Article
MSC: 78A60
Language: English
Citation: Oswaldo González-Gaxiola, Anjan Biswas, Mir Asma, Abdullah Kamis Alzahrani, “Optical Dromions and Domain Walls with the Kundu – Mukherjee – Naskar Equation by the Laplace – Adomian Decomposition Scheme”, Regul. Chaotic Dyn., 25:4 (2020), 338–348
Citation in format AMSBIB
\Bibitem{GonBisAsm20}
\by Oswaldo Gonz\'alez-Gaxiola, Anjan Biswas, Mir Asma, Abdullah Kamis Alzahrani
\paper Optical Dromions and Domain Walls with the Kundu – Mukherjee – Naskar Equation by the Laplace – Adomian Decomposition Scheme
\jour Regul. Chaotic Dyn.
\yr 2020
\vol 25
\issue 4
\pages 338--348
\mathnet{http://mi.mathnet.ru/rcd1069}
\crossref{https://doi.org/10.1134/S1560354720040036}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85088789257}
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  • https://www.mathnet.ru/eng/rcd/v25/i4/p338
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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