Nonlinear dynamics of nonautonomous solitons in external potentials expressed by time-varying power series: exactly solvable higher-order nonlinear and dispersive models

Belyaeva, T. L.; Serkin, V. N.

doi:10.1007/s11071-021-07010-0

Cited by 12 publications

(1 citation statement)

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“…Serkin and his group have found through some pioneering works that infinite number of solutions can be obtained for nonautonomous NLS equations [16][17][18][19][20]. In the recent study on nonautonomous system, they conclude that dynamical behavior of nonautonomous solitons can be adapted to both the dispersion and nonlinearity variations with varying amplitude and speed [21]. As the milestones of study on nonautonomous NLS systems, controllable nonautonomous solitons have been reported [22,23].…”

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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