Abstract
In this paper, using the Lagrangian approach, we study the modulational instability of the one-dimensional optical solitons with a nonlinear Schrödinger equation in pure quartic media along with competing cubic and quintic nonlinearities. By adding weak perturbation to the plane wave solution, we deduced the dispersion relation which accommodates the impacts of fourth-order dispersion strength, cubic and quintic nonlinearities. Following that, by employing a time-dependent variational approach, we find the stable and unstable regions of the optical solitons by tuning the fourth-order dispersion for competing cubic and quintic nonlinear strengths. We have also been able to identify the region of modulational instability growth rate. We complemented our analytical results with full numerical simulations and good agreement has been found.
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Acknowledgements
JBS acknowledge Centre for Computational Modeling (CCM), Chennai Institute of Technology, Chennai–600 069, India for providing fund vide funding number CIT/CNS/2023/RP-016. EK work has been supported by the National Key R &D Program of China under Grant No. 2016YFA0301500, NSFC under Grants Nos. 11434015, 61227902
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Funding support from National Key R &D Program of China under Grant No. 2016YFA0301500, NSFC under Grants Nos. 11434015, 61227902. Funding from Chennai Institute of Technology, Chennai, India via funding number CIT/CNS/2023/RP-016.
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NT and EK Conceptualization, Methodology, Software, Writing—original draft, Investigation, Data curation, Visualization, Writing—review & editing. SB and ACC Methodology, Software, Investigation, Writing—review and editing.
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Nathan Tchepemen dedicates this work to his late parent Nkouessi Yomi Michel and Njeukoue Rosalie.
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Tchepemen, N., Balasubramanian, S., Chamgoué, A.C. et al. Cubic-quintic nonlinear wave patterns and Lagrangian approach to modulational instability in pure-quartic media. Opt Quant Electron 55, 1057 (2023). https://doi.org/10.1007/s11082-023-05300-y
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DOI: https://doi.org/10.1007/s11082-023-05300-y