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Solitons and conservation laws in magneto-optic waveguides with triple-power law nonlinearity

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Abstract

The results of this paper stem from soliton solutions in magneto-optic waveguides that maintain triple-power law nonlinearity. Kudryashov’s method and generalized Jacobi’s elliptic function expansion collectively reveal a complete soliton solutions spectrum to the model. Finally, the conservation laws are also placed in the paper.

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Acknowledgements

The research work of the eighth author (MRB) was supported by the Grant NPRP 11S-1126-170033 from QNRF, and he is thankful for it.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Zagazig University, Zagazig, 44519, Egypt

    Elsayed M. E. Zayed & Mohamed E. M. Alngar

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

    Anjan Biswas

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

    Anjan Biswas & Abdullah K. Alzahrani

  4. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Shosse, Moscow, Russian Federation, 115409

    Anjan Biswas

  5. School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits, Johannesburg, 2050, South Africa

    Abdul H. Kara

  6. Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Str., 800008, Galaţi, Romania

    Luminita Moraru

  7. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100, Yozgat, Turkey

    Mehmet Ekici

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

    Milivoj R. Belic

Authors
  1. Elsayed M. E. Zayed
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  2. Mohamed E. M. Alngar
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  3. Anjan Biswas
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  4. Abdul H. Kara
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  5. Luminita Moraru
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  6. Mehmet Ekici
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  7. Abdullah K. Alzahrani
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  8. Milivoj R. Belic
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Correspondence to Mehmet Ekici.

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Zayed, E.M.E., Alngar, M.E.M., Biswas, A. et al. Solitons and conservation laws in magneto-optic waveguides with triple-power law nonlinearity. J Opt 49, 584–590 (2020). https://doi.org/10.1007/s12596-020-00650-2

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  • DOI: https://doi.org/10.1007/s12596-020-00650-2

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