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Solitons for perturbed Gerdjikov–Ivanov equation in optical fibers and PCF by extended Kudryashov’s method

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Abstract

This paper reveals bright, dark and singular soliton solutions to the perturbed Gerdjikov–Ivanov equation by the aid of extended Kudryashov’s method. The nonlinear terms appear with full nonlinearity in order to give a generalized flavor to the model. As a byproduct of this scheme, plane waves and singular periodic solutions fall out and these solutions are listed as well.

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Acknowledgements

The work of the Q.Z. was supported by the National Science Foundation for Young Scientists of Wuhan Donghu University. The S.P.M. 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 M.B. was supported by Qatar National Research Fund (QNRF) under the Grant Number NPRP 8-028-1-001.

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Authors and Affiliations

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

    Anjan Biswas

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

    Anjan Biswas & Ali Saleh Alshomrani

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

    Anjan Biswas & Seithuti P. Moshokoa

  4. Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059, Bursa, Turkey

    Yakup Yıldırım & Emrullah Yaşar

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

    Qin Zhou

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

    Milivoj Belic

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  1. Anjan Biswas
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  2. Yakup Yıldırım
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  3. Emrullah Yaşar
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  4. Qin Zhou
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  5. Ali Saleh Alshomrani
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  6. Seithuti P. Moshokoa
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  7. Milivoj Belic
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Correspondence to Emrullah Yaşar.

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Biswas, A., Yıldırım, Y., Yaşar, E. et al. Solitons for perturbed Gerdjikov–Ivanov equation in optical fibers and PCF by extended Kudryashov’s method. Opt Quant Electron 50, 149 (2018). https://doi.org/10.1007/s11082-018-1417-0

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