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Optical solitons in birefringent fibers with quadratic-cubic nonlinearity by traveling waves and Adomian decomposition

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Abstract

This paper obtains the bright, singular and combo solitons solutions in birefringent fibers, with four-wave mixing, that maintains quadratic-cubic law of refractive of refractive index, by implementing traveling wave hypothesis. Adomian decomposition method is subsequently applied to the obtained results on bright solitons to display its numerical simulation with an impressive error measure.

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Acknowledgements

The research work of the sixth 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. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603, Kuala Lumpur, Malaysia

    Mir Asma

  2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, 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, Pretoria, South Africa

    Anjan Biswas

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

    Mehmet Ekici

  7. Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana-Cuajimalpa., Vasco de Quiroga 4871, 05348, Mexico City, Mexico

    O. González-Gaxiola

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

    Milivoj R. Belic

Authors
  1. Mir Asma
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  2. Anjan Biswas
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  3. Mehmet Ekici
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  4. O. González-Gaxiola
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  5. Abdullah K. Alzahrani
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  6. Milivoj R. Belic
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Corresponding author

Correspondence to O. González-Gaxiola.

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Asma, M., Biswas, A., Ekici, M. et al. Optical solitons in birefringent fibers with quadratic-cubic nonlinearity by traveling waves and Adomian decomposition. Opt Quant Electron 53, 138 (2021). https://doi.org/10.1007/s11082-021-02778-2

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