Results 21 to 30 of about 34,063 (197)
Results in Optics, 2023 The purpose of this work is to describe theoretically the behavior of modulated pulses in nonlinear birefringent optical waveguides and particularly in the optical fibers, by taking into account the anisotropy of the medium as well as the orientation of ...
Hatou-Yvelin Donkeng +5 more
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Temporal localization of optical waves supported by a copropagating quasiperiodic structure. [PDF]
NanophotonicsAbstract Research on time crystals concerns the spontaneous breaking of translational symmetry in time, as well as the realization of phenomena and phases known from solid‐state physics in the time domain. Periodically driven systems of massive particles are widely used in these studies.
Yazdani-Kachoei M, Sacha K, Malomed BA.
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SIAM Journal of Scientific Computing, 2003 W. Bao, Shi Jin, P. Markowich
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, 2020 The paper presents nonlocal reverse-spacetime PT-symmetric multicomponent nonlinear Schrödinger (NLS) equations under a specific nonlocal group reduction, and generates their inverse scattering transforms and soliton solutions by the Riemann-Hilbert ...
W. Ma
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Journal of Ocean Engineering and Science, 2022 The current study deals with exact soliton solutions for Schrödinger-Hirota (SH) equation via two modified integration methods. Those methods are known as the improved (G′/G)-expansion method and the Kudryashov method. This model is a generalized version
Asim Zafar +5 more
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Two (2+1)-dimensional integrable nonlocal nonlinear Schrödinger equations: Breather, rational and semi-rational solutions [PDF]
Chaos, Solitons & Fractals, 2018 Recently, an integrable system of coupled ( 2 + 1 ) -dimensional nonlinear Schrodinger (NLS) equations was introduced by Fokas (Eq. (18) in Nonlinearity 29, 319324 (2016)). Following this pattern, two integrable equations [Eqs. (2) and (3)] with specific
Yulei Cao, B. Malomed, Jingsong He
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On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2017 We consider the Cauchy problem for the nonlinear Schrodinger equations (NLS) with non-algebraic nonlinearities on the Euclidean space. In particular, we study the energy-critical NLS on \begin{document}$ \mathbb{R}^d $\end{document} , \begin{document}$ d
Tadahiro Oh +2 more
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Journal of Mathematics, 2023 In this paper, we present a novel Galerkin spectral method for numerically solving the stochastic nonlinear Schrödinger (NLS) equation driven by multivariate Gaussian random variables, including the nonlinear term.
Hongling Xie
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Open Mathematics, 2023 In this article, the coupled matrix nonlinear Schrödinger (NLS) type equations are gauge equivalent to the equation of Schrödinger flow from R1{{\mathbb{R}}}^{1} to complex Grassmannian manifold G˜n,k=GL(n,C)∕GL(k,C)×GL(n−k,C),{\widetilde{G}}_{n,k}={\rm ...
Zhong Shiping, Zhao Zehui, Wan Xinjie
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Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations [PDF]
Journal of Differential Equations, 2017 In this paper, we show that solutions of stochastic nonlinear Schrodinger (NLS) equations can be approximated by solutions of coupled splitting systems.
J. Cui +3 more
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