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Oksana Kurkina, Efim Pelinovsky and Andrey Kurkin
The higher-order nonlinear Schrödinger equation with combined nonlinearities is derived by an asymptotic reduction from the (2+4) Korteweg?de Vries model for weakly nonlinear wave packets for the context of interfacial waves in a three-layer symmetric me...
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Zhijian Wu, Yang Ding and Xuefeng Peng
We fabricated a core-cladding Ge?Sb?Se glass fiber with a Ge12.5Sb15Se72.5 core and Ge15Sb10Se75 cladding, achieved a supercontinuum spectrum spanning from 2 µm to 9 µm by pumping the Ge?Sb?Se fiber with a core diameter of 11 µm using a femtosecond laser...
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Weida Xia, Yuxiang Ma, Guohai Dong, Jie Zhang and Xiaozhou Ma
Numerical simulations were performed to study the long-distance evolution of irregular waves in deep water. It was observed that some solitons, which are the theoretical solutions of the nonlinear Schrödinger equation, emerged spontaneously as irregular ...
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Qing Pan, Hui-Min Yin and Kwok W. Chow
Internal waves in a stratified fluid with a constant buoyancy frequency were studied, with special attention given to rogue modes, extreme waves, dynamical evolution, and Fermi?Pasta?Ulam?Tsingou type recurrence phenomena. Rogue waves for triads in a gen...
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Alfred R. Osborne
Nonlinear Fourier Analysis (NLFA) as developed herein begins with the nonlinear Schrödinger equation in two-space and one-time dimensions (the 2+1 NLS equation). The integrability of the simpler nonlinear Schrödinger equation in one-space and one-time di...
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Michail Manolidis, Mark Orzech and Julian Simeonov
Studies of the nonlinear Schrödinger (NLS) equation indicate that surface gravity waves traveling against currents of increasing strength gain energy and steepness in the process, and this can be a mechanism for rogue wave formation. Likewise, experiment...
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Andrey D. Bulygin
Pág. 115 - 118
In this paper, we for the first time introduce a numerical scheme the solution of a nonlinear equation of the Gross?Pitaevskii type (GP) or the nonlinear Schrodinger equation (NLSE) with highest nonlinearities, which provides implementation of a complete...
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Fedor Mitschke, Christoph Mahnke and Alexander Hause
This is a review of fiber-optic soliton propagation and of methods to determine the soliton content in a pulse, group of pulses or a similar structure. Of central importance is the nonlinear Schrödinger equation, an integrable equation that possesses sol...
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