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Solitons in nonlinear directional couplers with optical metamaterials

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Abstract

This paper obtains bright, dark, and singular optical solitons in nonlinear directional couplers with optical metamaterials. The mathematical principle of undetermined coefficients is applied to extract these soliton solutions, with phase-matching condition. The constraint conditions for the existence of soliton solutions naturally emerge from the solutions. Both twin-core couplers and multiple-core couplers are studied in this paper.

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Acknowledgments

The third author (QZ) was funded by the National Science Foundation of Hubei Province in China under the Grant Number 2015CFC891. The sixth author (AB) would like to thank Tshwane University of Technology during his academic visit during 2016. The seventh author (SPM) would like to thank the research support provided by the Department of Mathematics and Statistics at Tshwane University of Technology and the support from the South African National Foundation under Grant No. 92052 IRF1202210126. The research work of sixth and eighth authors (AB & MB) was supported by Qatar National Research Fund (QNRF) under the Grant No. NPRP 6-021-1-005. All authors have made contributions to this paper.

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Authors and Affiliations

  1. Department of Mathematics, Lamar University, Beaumont, TX, 77710, USA

    Jose Vega-Guzman

  2. Department of Mathematics, Howard University, Washington, DC, 20059, USA

    M. F. Mahmood

  3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, People’s Republic of China

    Qin Zhou

  4. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, PO Box 12, 23000, Annaba, Algeria

    Houria Triki

  5. Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, 11837, Egypt

    Ahmed H. Arnous

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

    Anjan Biswas & Seithuti P. Moshokoa

  7. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 80203, Saudi Arabia

    Anjan Biswas

  8. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar

    Milivoj Belic

Authors
  1. Jose Vega-Guzman
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  2. M. F. Mahmood
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  3. Qin Zhou
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  4. Houria Triki
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  5. Ahmed H. Arnous
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  6. Anjan Biswas
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  7. Seithuti P. Moshokoa
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  8. Milivoj Belic
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Correspondence to Anjan Biswas.

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Vega-Guzman, J., Mahmood, M.F., Zhou, Q. et al. Solitons in nonlinear directional couplers with optical metamaterials. Nonlinear Dyn 87, 427–458 (2017). https://doi.org/10.1007/s11071-016-3052-2

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  • DOI: https://doi.org/10.1007/s11071-016-3052-2

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