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Synchronized wave and modulation instability gain induce by the effects of higher-order dispersions in nonlinear optical fibers

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Abstract

This work examines the effects of the higher-order dispersion (HOD) on modulated waves and modulation instability (MI) gain by using the perturbed nonlinear Schrödinger equation having the cubic quintic septic nonlinearity. We use the new generalized auxiliary equation method to underline the behavior of bright, dark soliton as well as the combined optical soliton solutions. Considering the constraint relation on the combined optical soliton solutions, we carry out the W-shaped profile. We observe that the obtained optical soliton solutions can spread without alteration and can preserve their shapes. Moreover, we enhance the obtained analytical results by using the Split-Step Fourier technic which yields points out stable optical solitons. We have obviously highlighted the effects of the HOD by means of the numerical simulation. Owing to the fact that the model has nonlinear and dispersions terms, we have shown how the MI growth rate and the modulation bands can expand under the influence of the HOD terms in normal and anomalous dispersion regimes. It is worth mentioning the appearance of the unstable zones when the value of the higher-order dispersion term increases and additional bands also emerges. Compared these results with some previous works (Kohl in Optik 203:163451, 2020; Yao in Res Phys 30:104825, 2021; Wang in Phys Lett A 372:417–423, 2008; Ismail in Appl Math Comput 209:425–429, 2009; Nestor in Eur Phys J Plus 135:380, 2020), additional bands of the MI have been pointed out while the MI gain spectra have shown new sides lobes. We expect that these relevant and concise results could probably help to improve the communication system through optic fibers.

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Authors and Affiliations

  1. Department of Basic Science, National Advanced School of Mines and Petroleum Industries, University of Maroua, P.O Box 08, kaélé, Cameroon

    Souleymanou Abbagari

  2. Laboratory of Mechanics, Materials and Structures, Department of physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon

    Souleymanou Abbagari

  3. Department of Physics, Faculty of Science, University of Maroua, P.O. Box 814, Maroua, Cameroon

    Alphonse Houwe

  4. Department of Marine Engineering, Limbe Nautical Arts and Fisheries Institute, P.O Box 485, Limbe, Cameroon

    Alphonse Houwe

  5. Department of Mathematics, Lafayette College, Easton, PA, USA

    Lanre Akinyemi

  6. Department of Computer Engineering, Biruni University, Istanbul, Turkey

    Mustafa Inc

  7. Department of Mathematics, Fırat University, Science Faculty, 23119, Elazig, Turkey

    Mustafa Inc

  8. Department of Medical Research, China Medical University Hospital, China Medical University Taichung, Taichung, Taiwan

    Mustafa Inc

  9. Department of Physics, Faculty of Science, University of Ngaoundere, P.O Box 454, Ngaoundere, Cameroon

    Serge Y. Doka

  10. Department of Physics, Faculty of Science The University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon

    Kofané Timoléon Crépin

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  1. Souleymanou Abbagari
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  2. Alphonse Houwe
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  3. Lanre Akinyemi
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  4. Mustafa Inc
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  6. Kofané Timoléon Crépin
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Correspondence to Lanre Akinyemi.

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Abbagari, S., Houwe, A., Akinyemi, L. et al. Synchronized wave and modulation instability gain induce by the effects of higher-order dispersions in nonlinear optical fibers. Opt Quant Electron 54, 642 (2022). https://doi.org/10.1007/s11082-022-04014-x

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