Results 21 to 30 of about 10,211 (217)
Frontiers in Physics, 2020 This study reviews the Peregrine solitons appearing under the framework of a class of nonlinear Schrödinger equations describing the diverse nonlinear systems.
T. Uthayakumar +2 more
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Evolution of Water Wave Groups in the Forced Benney–Roskes System
Fluids, 2023 For weakly nonlinear waves in one space dimension, the nonlinear Schrödinger Equation is widely accepted as a canonical model for the evolution of wave groups described by modulation instability and its soliton and breather solutions.
Montri Maleewong, Roger H. J. Grimshaw
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Dispersion managed generation of Peregrine solitons and Kuznetsov-Ma breather in an optical fiber [PDF]
Physics Letters A, 2021 Optical rogue waves and its variants have been studied quite extensively in the context of optical fiber in recent years. It has been realized that dispersion management in optical fiber is experimentally much more feasible compared to its nonlinear counterpart.
Dipti Kanika Mahato +3 more
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Amplification of Wave Groups in the Forced Nonlinear Schrödinger Equation
Fluids, 2022 In many physical contexts, notably including deep-water waves, modulation instability in one space dimension is often studied by using the nonlinear Schrödinger equation. The principal solutions of interest are solitons and breathers which are adopted as
Montri Maleewong, Roger H. J. Grimshaw
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Differential Relations for the Solutions to the NLS Equation and Their Different Representations
Communications in Advanced Mathematical Sciences, 2019 Solutions to the focusing nonlinear Schr\"odinger equation (NLS) of order $N$ depending on $2N-2$ real parameters in terms of wronskians and Fredholm determinants are given.
Pierre Gaillard
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Akhmediev breathers and Peregrine solitary waves in a quadratic medium [PDF]
Optics Letters, 2017 We investigate the formation of optical localized nonlinear structures, evolving upon a non-zero background plane wave, in a dispersive quadratic medium. We show the existence of quadratic Akhmediev breathers and Peregrine solitary waves, in the regime of cascading second-harmonic generation.
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Wind-wave amplification mechanisms: possible models for steep wave events in finite depth [PDF]
Natural Hazards and Earth System Sciences, 2013 We extend the Miles mechanism of wind-wave generation to finite depth. A β-Miles linear growth rate depending on the depth and wind velocity is derived and allows the study of linear growth rates of surface waves from weak to moderate winds in ...
P. Montalvo +3 more
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Nanophotonics, 2021 Nonlinear surface-plasmon polaritons (NSPPs) in nanophotonic waveguides excite with dissimilar temporal properties due to input field modifications and material characteristics, but they possess similar nonlinear spectral evolution.
Jalali-Mola Zahra +1 more
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Advantages and limitations of the nonlinear Schrödinger equation in describing the evolution of nonlinear water-wave groups; pp. 356–360 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 The nonlinear Schrödinger (NLS) equation is a popular and relatively simple model used extensively to describe the evolution of nonlinear water-wave groups.
Lev Shemer
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Peregrine Soliton and Akhmediev Breathers in a Chameleon Electrical Transmission Line
Journal of Applied Mathematics and Physics, 2020 We analyze the particular behavior exhibited by a chaotic waves field containing Peregrine soliton and Akhmediev breathers. This behavior can be assimilated to a tree with “roots of propagation” which propagate randomly. Besides, this strange phenomenon can be called “tree structures”. So, we present the collapse of dark and bright solitons in order to
Bedel Giscard Onana Essama +5 more
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