Modulation instability, rogue waves and conservation laws in higher-order nonlinear Schrödinger equation

Dong, Ming; Li, Tian

doi:10.1088/1572-9494/abcfb6

Cited by 6 publications

(1 citation statement)

References 35 publications

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“…Modulation Instability (MI) of short pulses was identified in an optical fiber experiment via the recording of symmetrical side bands in the averaged optical spectrum and oscillations. On the other hand, modulation instability analysis for rogue waves have been carried out through pioneering works [46][47][48][49][50]. The observation of rogue waves in an optical system reported based on extremely broadband radiation is generated from a narrow broadband input [51].…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation on nonautonomous optical rogue waves and Modulation Instability analysis for a nonautonomous system

Saravana Veni,

Mani Rajan,

Bertrand Tabi

et al. 2024

Phys. Scr.

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In this paper, we report existence of optical rogue waves in the focussing non - autonomousnonlinear Schr ̈odinger equation (NLSE) through numerical studies of modulation instability (MI).The dynamics of non-autonomous rogue waves discussed and its associated modulation instabilitythrough linear stability analysis taken place followed by pulse splitting behaviour due to non -autonomous coefficient. We prove that the excitation of rogue waves with certain conditions in thebase band modulation instability regime. The above analysis of complex dynamics in terms of MIprocesses has allowed to experiments to excite the nonlinear superposition of rogue wave solutionsusing a modulated plane wave optical field injected into optical fiber which offer the evidence forexcitation of nonautonomous rogue waves in an inhomogeneous nonlinear medium. It is identifiedfrom the results frequency modulation on a wavefield induces modulation instability as a result ofrogue waves. We analyze the dependence of parameters coefficient of group velocity dispersion(GVD)and nonlinearity (α(z)) and non - autonomous coefficient (β(z)) and the instability of rogue waves.Our work suggests that the presence of non-autonomous coefficients can have a significant impacton the emergence of extreme events, particularly in relation to their self - steepening nature.

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