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Cubic–quartic optical soliton perturbation and conservation laws with generalized Kudryashov’s form of refractive index

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Abstract

This paper obtains cubic–quartic optical solitons of generalized Kudryashov’s law of refractive index. The included perturbation terms are with maximum intensity. The retrieved soliton solutions are with the aid of F-expansion, exp-expansion and Riccati equation methods. Finally, the conservation laws of the model are also recovered and listed.

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Acknowledgements

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 Mathematics, Faculty of Arts and Sciences, Near East University, 99138, Nicosia, Cyprus

    Yakup Yıldırım

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

    Anjan Biswas

  3. Mathematical Modeling and Applied Computation (MMAC) Research Group, 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 Hwy, Moscow, 115409, Russian Federation

    Anjan Biswas

  5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa, 0204, South Africa

    Anjan Biswas

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

    Abdul H. Kara

  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. Yakup Yıldırım
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  2. Anjan Biswas
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  3. Abdul H. Kara
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  4. Mehmet Ekici
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  5. Abdullah K. Alzahrani
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  6. Milivoj R. Belic
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Correspondence to Mehmet Ekici.

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Yıldırım, Y., Biswas, A., Kara, A.H. et al. Cubic–quartic optical soliton perturbation and conservation laws with generalized Kudryashov’s form of refractive index. J Opt 50, 354–360 (2021). https://doi.org/10.1007/s12596-021-00681-3

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  • DOI: https://doi.org/10.1007/s12596-021-00681-3

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