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Analysis of optical solitons in nonlinear negative-indexed materials with anti-cubic nonlinearity

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Abstract

This paper adopts the extended trial equation method to handle optical nonlinear negative-index materials that come with anti-cubic nonlinearity. In presence of Hamiltonian perturbation terms, soliton solutions are obtained. These are bright and singular solitons only. However, some additional wave solutions are also emerged.

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Acknowledgements

The third author (QZ) was supported by the National Natural Science Foundation of China under the Grant Numbers 11705130 and 11547149, this author was also sponsored by the Chutian Scholar Program of Hubei Government in China. The fourth author (SPM) would like to thank the research support provided by the Department of Mathematics and Statistics at Tshwane University of Technology and the support from the South African National Foundation under Grant Number 92052 IRF1202210126. The research work of eighth author (MB) were supported by Qatar National Research Fund (QNRF) under the Grant Number NPRP 6-021-1-005.

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Authors and Affiliations

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

    Mehmet Ekici & Abdullah Sonmezoglu

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

    Qin Zhou

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

    Seithuti P. Moshokoa & Anjan Biswas

  4. Operator Theory and Applications Research Group, Faculty of Science, Department of Mathematics, King Abdulaziz University, PO Box 80203, Jeddah, 21589, Saudi Arabia

    Malik Zaka Ullah & Anjan Biswas

  5. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk, Cairo, Egypt

    Ahmed H. Arnous

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

    Anjan Biswas

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

    Milivoj Belic

Authors
  1. Mehmet Ekici
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  2. Abdullah Sonmezoglu
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  3. Qin Zhou
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  4. Seithuti P. Moshokoa
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  5. Malik Zaka Ullah
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  6. Ahmed H. Arnous
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  8. Milivoj Belic
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Correspondence to Qin Zhou.

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Ekici, M., Sonmezoglu, A., Zhou, Q. et al. Analysis of optical solitons in nonlinear negative-indexed materials with anti-cubic nonlinearity. Opt Quant Electron 50, 75 (2018). https://doi.org/10.1007/s11082-018-1341-3

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