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Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers

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Abstract

This paper reports conservation laws for highly dispersive optical solitons in birefringent fibers. Three forms of nonlinearities are studied which are Kerr, polynomial and nonlocal laws. Power, linear momentum and Hamiltonian are conserved for these types of nonlinear refractive index.

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Acknowledgments

The research work of the fifth 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. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL, 35762-4900, USA

    Anjan Biswas

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

    Anjan Biswas & Abdullah Kamis Alzahrani

  3. Department of Applied Mathematics, National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow, 115409, Russia

    Anjan Biswas

  4. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria, 0008, South Africa

    Anjan Biswas

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

    Abdul H. Kara

  6. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, People’s Republic of China

    Qin Zhou

  7. 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. Abdul H. Kara
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  3. Qin Zhou
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  4. Abdullah Kamis Alzahrani
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  5. Milivoj R. Belic
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Corresponding authors

Correspondence to Anjan Biswas, Abdul H. Kara, Qin Zhou, Abdullah Kamis Alzahrani or Milivoj R. Belic.

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Biswas, A., Kara, A.H., Zhou, Q. et al. Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers. Regul. Chaot. Dyn. 25, 166–177 (2020). https://doi.org/10.1134/S1560354720020033

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  • DOI: https://doi.org/10.1134/S1560354720020033

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