Results 31 to 40 of about 32,605 (214)
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
semanticscholar +1 more source
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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Rational solitons of wave resonant-interaction models [PDF]
, 2013 Integrable models of resonant interaction of two or more waves in 1+1 dimensions are known to be of applicative interest in several areas. Here we consider a system of three coupled wave equations which includes as special cases the vector nonlinear ...
Degasperis, Antonio +2 more
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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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Schrödinger equations in nonlinear systems [PDF]
, 2019 This book explores the diverse types of Schrödinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates.
Kengne, Emmanuel, Liu, Wu-Ming
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Nonlinear Fourier Analysis: Rogue Waves in Numerical Modeling and Data Analysis
Journal of Marine Science and Engineering, 2020 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).
Alfred R. Osborne
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A Microscopic Derivation of Gibbs Measures for Nonlinear Schrödinger Equations with Unbounded Interaction Potentials [PDF]
International mathematics research notices, 2019 We study the derivation of the Gibbs measure for the nonlinear Schrödinger (NLS) equation from many-body quantum thermal states in the mean-field limit.
Vedran Sohinger
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Nongauge bright soliton of the nonlinear Schrödinger (NLS) equation and a family of generalized NLS equations [PDF]
, 2016 "We present an approach to the bright soliton solution of the nonlinear Schrödinger (NLS) equation from the standpoint of introducing a constant potential term in the equation.
Marco A. Reyes +7 more
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Remarks on the Gibbs measures for nonlinear dispersive equations [PDF]
, 2018 International audienceWe show, by the means of several examples, how we can use Gibbs measures to construct global solutions to dispersive equations at low regularity.
Nicolas Burq +5 more
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