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Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov’s Law of Refractive Index by Extended Trial Function

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Abstract

This work studies cubic–quartic optical solitons with Kudryashov’s law of refractive index. The extended trial function approach reveals solutions to the model in terms of Jacobi’s elliptic functions that yields bright and singular optical solitons with limiting values to the modulus of ellipticity. The conservation laws are also presented.

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ACKNOWLEDGMENTS

The research work of the sixth author (MRB) was supported by the grant NPRP 11S-1246-170033 from QNRF and he is thankful for it.

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Authors and Affiliations

  1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, 35762–4900, Huntsville, AL, USA

    Anjan Biswas

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

    Anjan Biswas & Abdullah Kamis Alzahrani

  3. Department of Applied Mathematics, National Research Nuclear University, 115409, Moscow, Russia

    Anjan Biswas

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

    Abdullah Sonmezoglu & Mehmet Ekici

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

    Abdul Hamid Kara

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

    Milivoj R. Belic

Authors
  1. Anjan Biswas
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  2. Abdullah Sonmezoglu
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  3. Mehmet Ekici
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  4. Abdul Hamid Kara
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  5. Abdullah Kamis Alzahrani
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  6. Milivoj R. Belic
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Correspondence to Anjan Biswas.

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Biswas, A., Sonmezoglu, A., Ekici, M. et al. Cubic–Quartic Optical Solitons and Conservation Laws with Kudryashov’s Law of Refractive Index by Extended Trial Function. Comput. Math. and Math. Phys. 61, 1995–2003 (2021). https://doi.org/10.1134/S0965542521310018

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