Neural networks for computing and denoising the continuous nonlinear Fourier spectrum in focusing nonlinear Schrödinger equation. [PDF]
Sedov EV +7 more
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Optical soliton solutions of the unstable nonlinear Schrödinger equation. [PDF]
Shabbir S +4 more
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Defocusing Nonlinear Schrödinger equation: Confinement, Stability And Asymptotic Stability
This paper is devoted to the asymptotic properties of the Nonlinear Schrödinger equation in the defocusing case. We recover dispersion rates by the mean of time-dependent rescalings in the power law case and prove a new result in the case of the ...
Carlos Cid, Jean Dolbeault
core
Soliton dynamics in the stochastic nonlinear Schrödinger equation with self-phase modulation and multiplicative white noise. [PDF]
Shehab MF, Ahmed HM, Hussein HH.
europepmc +1 more source
Multiple lump and rogue wave for time fractional resonant nonlinear Schrödinger equation under parabolic law with weak nonlocal nonlinearity. [PDF]
Rizvi STR +4 more
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Linearly Implicit Finite Element Methods Approximating the Solution to the Nonlinear Schrödinger Equation with a Schamel-Type Nonlinearity. [PDF]
Paraschis P, Zouraris GE.
europepmc +1 more source
Exact and numerical optical soliton solutions of the fractional quadratic-cubic nonlinear Schrödinger equation in conformable derivative framework. [PDF]
Amer A +5 more
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Exact noise influenced soliton solutions of a high-order stochastic nonlinear Schrödinger equation with weak nonlocal nonlinearity in a non-Kerr medium. [PDF]
Ali MH +5 more
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Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)
In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the ...
Muslu, Gulcin M., Esfahani, Amin
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Dynamical behavior of analytic solutions of the generalized derivative nonlinear Schrödinger equation under stochastic perturbations in fiber communication systems. [PDF]
Murad MAS +3 more
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