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Effects of saturable function in three-core PIM-NIM-PIM coupler through modulation instability

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Abstract

We consider a model of three-core PIM-NIM-PIM coupler with Kerr-type saturable nonlinearity to study both analytically and numerically saturation effects on the modulational instability (MI) phenomenon. The analytical results show us that, in presence of saturable parameters in normal and anomalous dispersion regime the instability gain presents significant changes compared to Shafeeque et al. (Phys Lett A 11:223–229, 2015) in absence of saturable parameter. It clearly also shows that Power and nonlinear parameters can be used to control MI. Through numerical simulation, the generations of periodic soliton are obtained in presence of nonlinear saturation. However in absence of saturable parameter, the train of soliton obtained turns into a turbulent state after a certain propagations distance, and in that case, the system is prone to present MI.

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Authors and Affiliations

  1. Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

    P. H. Tatsing & T. C. Kofane

  2. Centre d‘Excellence Africain en Technologies de l‘Information et de la Communication, Universite de Yaounde, Soa, Cameroon

    P. H. Tatsing, A. Mohamadou & T. C. Kofane

  3. School of Geology and Mining Engineering, University of Ngaoundere, Ngaoundere, Cameroon

    A. C. Chamgoue

  4. School of Physics and Electronic information Engineering, Zhejiang Normal University Jinhua, Jinhua, 321004, China

    E. Kengne

  5. Department of Computer and Engineering, University of Quebec at Outaouais, 101 St-Jean-Bosco, Gatineau, J8Y 3G5, Canada

    E. Kengne

  6. Complex Systems, National Polytechnic School, University of Maroua, P.O. Box 46, Maroua, Cameroon

    A. Mohamadou

  7. The Abdus Salam International Centre for Theoretical Physics, Strada costiera 11, P.O. Box 586, 34014, Trieste, Italy

    A. Mohamadou & T. C. Kofane

  8. Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana

    T. C. Kofane

Authors
  1. P. H. Tatsing
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  2. A. C. Chamgoue
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  3. E. Kengne
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  4. A. Mohamadou
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  5. T. C. Kofane
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Correspondence to P. H. Tatsing.

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Tatsing, P.H., Chamgoue, A.C., Kengne, E. et al. Effects of saturable function in three-core PIM-NIM-PIM coupler through modulation instability. Opt Quant Electron 55, 240 (2023). https://doi.org/10.1007/s11082-022-04524-8

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  • DOI: https://doi.org/10.1007/s11082-022-04524-8

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