Abstract
We investigate the stable propagation of 1D and 2D optical solitons in nonlinear Schrödinger equation with fourth-order diffraction and self-focusing power-law nonlinearity in the presence of complex generalized Scarff-II \(\mathcal{P}\mathcal{T}\)-symmetric potential. Using both analytical and numerical techniques, we identified that the stability of the 1D and 2D optical solitons are determined by the strength of the fourth-order diffraction. For weak fourth-order diffraction, the stable and unstable optical solitons are observed for various ranges of localization parameter which is present in the considered complex \(\mathcal{P}\mathcal{T}\)-symmetric potential. The soliton is stable for almost all the values of the localization parameter with strong fourth-order diffraction. We have also discussed the impact of power-law nonlinearity on the stability of 1D and 2D optical solitons. The stable dynamical evolution of 1D and 2D optical solitons is also shown for both weak and strong fourth-order diffraction in the presence of power-law nonlinearity and complex generalized Scarff-II \(\mathcal{P}\mathcal{T}\)-symmetric potential.
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JBS and KR acknowledge Centre for Computational Modeling (CCM) and Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai–600 069, India for providing fund vide funding number CIT/CNS/2023/RP-016.
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Tchepemen, N., Balasubramanian, S., Karthikeyan, A. et al. Optical soliton management with higher-order diffraction in a \(\mathcal{P}\mathcal{T}\)-symmetric nonlinear system. Opt Quant Electron 56, 842 (2024). https://doi.org/10.1007/s11082-024-06567-5
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DOI: https://doi.org/10.1007/s11082-024-06567-5