The defocusing nonlinear schrödinger equation
WebOct 18, 2024 · [Submitted on 18 Oct 2024] Global well-posedness for the defocusing mass-critical stochastic nonlinear Schrödinger equation on at regularity Chenjie Fan, Weijun Xu We prove global existence and stability of solution to the mass-critical stochastic nonlinear Schrödinger equation in at regularity. Webassociated to the sub-cubic, focusing or defocusing Nonlinear Schrödinger equation (NLS) on the disc of the plane R2. For focusing non-linear in-teractions the cubic threshold is critical for the argument in [12] because of measure existence obstructions. The main goal of this paper is to show
The defocusing nonlinear schrödinger equation
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WebDec 18, 2024 · In this paper, we use the multi-layer PINN deep learning method to study the data-driven rogue wave solutions of the defocusing nonlinear Schrödinger (NLS) equation with the time-dependent potential by considering several initial conditions such as the rogue wave, Jacobi elliptic cosine function, two-Gaussian function, or three-hyperbolic-secant … WebAug 31, 2024 · We consider the Cauchy problem for the nonlinear Schrödinger equations (NLS) with non-algebraic nonlinearities on the Euclidean space. In particular, we study the energy-critical NLS on $ \mathbb{R}^d $, $ d = 5,6 $, and energy-critical NLS without gauge invariance and prove that they are almost surely locally well-posed with respect to …
WebNov 8, 2024 · Investigated in this paper is the defocusing nonlinear Schrödinger (NLS) equation, which is used for describing the wave-packet dynamics in certain weakly nonlinear media. WebApr 10, 2024 · In this work, we consider the numerical solutions of a dispersion-managed nonlinear Schrödinger equation (DM-NLS) and a nonlinearity-managed NLS equation (NM-NLS). The two equations arise from the soliton managements in optics and matter waves, and they involve temporal discontinuous coefficients with possible frequent jumps and …
WebAbstract. In this work, we propose a new improved modified generalized sub-ODE method for constructing new solitons and traveling wave solutions, and also show the dynamical behaviors of various wave structures to the extended nonlinear Schrödinger equation with higher-order odd and even terms, as well as a generalized nonlinear Schrödinger equation … WebWe study a deformation of the defocusing nonlinear Schrödinger (NLS) equation, the defocusing Camassa–Holm NLS, hereafter referred to as …
WebB. Dodson, Global well-posedness and scattering for the defocusing, L 2 -critical nonlinear Schrödinger equation when d = 2, Duke Math. J., 165 (2016), pp. 3435--3516. Google Scholar 14.
WebAug 16, 2005 · The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions Monica Visan We obtain global well-posedness, scattering, and global … gregg\u0027s blue mistflowerWebFeb 2, 2024 · The nonlinear Schrödinger (NLS) equation in one, two and thr ee spatial dimensions is a ubiquitous model in nonlinear science. One reason is its universality as a model for the evolution of weakly greggs uk share price today liveWebApr 30, 2008 · For rather general nonlinearities, we prove that defocusing nonlinear Schrödinger equations in ℝ (n ≤ 4), with non-vanishing initial data at infinity u0, are … gregg\u0027s cycles seattleWebOct 20, 2024 · Abstract. In this paper, we obtain the N th-order rational solutions for the defocusing non-local nonlinear Schrödinger equation by the Darboux transformation and … gregg\u0027s restaurants and pub warwick rigreggs victoriaWebNov 8, 2024 · Investigated in this paper is the defocusing nonlinear Schrödinger (NLS) equation, which is used for describing the wave-packet dynamics in certain weakly … gregg\\u0027s restaurant north kingstown riWebMar 30, 1999 · Abstract We study the Whitham equations, which describe the semiclassical limit of the defocusing nonlinear Schrödinger equation. The limit is governed by a pair of hyperbolic equations of two independent variables for a … gregg township pa federal prison