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Optical solitons and bifurcation analysis in fiber Bragg gratings with Lie symmetry and Kudryashov’s approach

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Abstract

A combination of Lie symmetry analysis and Kudryashov’s approach secures optical soliton solutions with fiber Bragg gratings. The bifurcation analysis is carried out, and the phase portrait is presented.

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Acknowledgements

The first author is thankful to CSIR for providing financial assistance in terms of SRF scholarship vide Letter No. 09/1051(0028)/2018-EMR-I.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Central University of Punjab, Bathinda, 151401, Punjab, India

    Sandeep Malik & Sachin Kumar

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

    Anjan Biswas

  3. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Anjan Biswas & Abdullah Khamis Alzahrani

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

    Anjan Biswas

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

    Mehmet Ekici

  6. Physics and Technology Faculty, University of Plovdiv “Paisii Hilendarski”, 24 Tsar Asen Street, 4000, Plovdiv, Bulgaria

    Anelia Dakova

  7. Institute of Electronics, Bulgarian Academy of Sciences, 72 Tzarigradcko Shossee, 1784, Sofia, Bulgaria

    Anelia Dakova

  8. Institute of Physics Belgrade, Pregrevica 118, 11080, Zemun, Serbia

    Milivoj R. Belic

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  1. Sandeep Malik
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  2. Sachin Kumar
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Correspondence to Mehmet Ekici.

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Malik, S., Kumar, S., Biswas, A. et al. Optical solitons and bifurcation analysis in fiber Bragg gratings with Lie symmetry and Kudryashov’s approach. Nonlinear Dyn 105, 735–751 (2021). https://doi.org/10.1007/s11071-021-06630-w

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  • DOI: https://doi.org/10.1007/s11071-021-06630-w

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