Damped schrodinger equation

Author: xjzk

August undefined, 2024

WebMay 22, 2008 · The following coupled damped Klein-Gordon-Schrödinger equations are considered i\psi_ {t} +\triangle\psi + i\alpha \psi ^ {2}\psi = \phi\psi\,\, {\rm in}\,\,\Omega \times (0,\infty), (\alpha > 0) \phi_ {tt} - \triangle\phi + a (x)\phi_ {t} = \psi ^ {2} {\mathcal {X}}_ {\omega}\, {\rm in}\,\Omega \times (0,\infty), WebMar 1, 2024 · odinger equation (NLS) has been applied widely to simulate the evolution of wa ve packets in nonlinear and dispersive media. It can describe man y …

schroedinger equation - In what sense is a quantum damped …

WebThis paper introduces an extension of the time-splitting sine-spectral (TSSP) method for solving damped focusing nonlinear Schrödinger equations (NLSs). The method is explicit, unconditionally stable, and time transversal invariant. Moreover, it preserves the exact decay rate for the normalization of the wave function if linear damping terms are added to the … WebAug 28, 2024 · In a recent manuscript [ 6 ], the Shrödinger equation with non-linear damping and harmonic potential is treated, precisely global well-posedness and decay are discussed. When \gamma =0, the problem ( 1.1) is a coupled non-linear system. … grace united monroe wa

Uniform decay for the coupled Klein-Gordon-Schrödinger equations …

WebThis paper introduces an extension of the time-splitting sine-spectral (TSSP) method for solving damped focusing nonlinear Schrodinger equations (NLS). The method is explicit, unconditionally stable and time transversal invariant. Moreover, it preserves the exact decay rate for the normalization of the wave function if linear damping terms are added to the … WebAdvances in Differential Equations. We consider the Cauchy problem for the $L^{2}$-critical damped nonlinear Schrödinger equation. WebJan 1, 2024 · In this paper, we construct two dissipation-preserving prediction-correction schemes for the damped nonlinear Schrödinger equation. The temporal second-order scheme is implicit, but it only requires solving some scalar nonlinear equations in the prediction step plus a scalar quadratic equation in the correction step. The temporal … grace united reformed church alto mi

Galerkin finite elememt method for damped nonlinear …

WebNov 1, 2024 · Using a small amplitude ansatz, one usually approximates the equation using a damped, driven discrete nonlinear Schrödinger equation. Here, we show for the first time the justification of this ... WebApr 13, 2024 · Nonlinear evolution equations (NLEEs) can be used to represent a wide range of complicated physical processes and have applications in many areas of research, including physics, chemistry, biology, astronomy, and others [1, 3, 8, 10, 15, 20].Several researchers have suggested different approaches to find its analytical solutions, e.g., the … chill rv los angelesWebFeb 11, 2024 · A damped oscillating particle method to solve the stationary nonlinear Schrödinger equation (NLSE) that is well suited to handle a large class of equations and can be adapted to further constraints and components. Expand 18 PDF View 6 excerpts, references methods and background chill rwby

"WebJan 1, 2004 · In [25], the global existence and blowup of solutions for damped nonlinear Schrödinger equation is analytically investigated, and [1] introduces an extension of the time-splitting sine-spectral... " - Damped schrodinger equation

Damped schrodinger equation

Galerkin finite element method for damped nonlinear …

WebApr 30, 2015 · In this article we consider the Petrovsky equation u tt + Δ2 u − Δu t + u t m−1 u t = u p−1 u. We prove the global existence of the solution under conditions without any relation between m... WebFeb 11, 2024 · This article explains and illustrates the use of a set of coupled dynamical equations, second order in a fictitious time, which converges to solutions of stationary …

Did you know?

WebLogarithmic decay for damped hypoelliptic wave and Schrödinger equations Camille Laurent∗and Matthieu Léautaud† June 11, 2024 Abstract We consider damped wave (resp. Schrödinger and plate) equations driven by a hypoelliptic “sum of squares” operator L on a compact manifold and a damping function b(x). We assume the Chow- WebMar 7, 2024 · To generate different optical soliton solutions of the Paraxial wave equation with fractional time dependence, a well-known Sardar-subequation technique is used. The M-truncated fractional derivative is used to get rid of the fractional order in the governing model equation. The sorts of wave solutions acquired have important applications in …

WebJun 9, 2015 · We investigate the initial value problem for a semi-linear fractional damped Schrödinger equation. Global existence and scattering are proved depending on the … WebMay 1, 1999 · PERGAMON Applied Mathematics Letters 12 (1999) 45--48 Applied Mathematics Letters Regularity of the Attractor for a Weakly Damped Nonlinear SchrSdinger Equation on R N. AKROUNE Univ~rsit~ de Cergy-Pontoise 2, Avenue Adolphe Chauvin 95302 Cergy, Pontoise, France Akroune~math. psi. u-cergy, fr …

WebIn this paper, we investigate the damped stochastic nonlinear Schrödinger (NLS) equation with multiplicative noise and its splitting-based approximation. When the damped effect … WebJan 3, 2024 · For instance, the invariant measures were constructed for the stochastic nonlinear damped wave equation [ 2, 5] and scalar conservation laws [ 10 ]. In the case …

WebAug 1, 2024 · Logarithmic damped Schrödinger equation. 1. Introduction. The nonlinear Schrödinger equation (NLS) has been applied widely to simulate the evolution of wave …

WebOct 17, 2024 · Abstract: We prove spatiotemporal algebraically decaying estimates for the density of the solutions of the linearly damped nonlinear Schrödinger equation with … chill rubyWebJan 17, 2024 · In this paper, we consider the well-posedness of the weakly damped stochastic nonlinear Schrödinger(NLS) equation driven by multiplicative noise. First, we show the global existence of the unique solution for the damped stochastic NLS equation in critical case. Meanwhile, the exponential integrability of the solution is proved, which … grace united wch ohioWebThis paper is devoted to proving the polynomial mixing for a weakly damped stochastic nonlinear Schr\"{o}dinger equation with additive noise on a 1D bounded domain. The noise is white in time and smooth in space. We consider both focusing and defocusing nonlinearities, respectively, with exponents of the nonlinearity $\sigma\in[0,2)$ and … grace united methodist springfield moWebIn this paper, we study the singular limit of the damped wave equation ε~2utt+γut = Δu + ε~(?2)f(u) on Rn, where f is of bistable type and n = 2 or 3. ... Soliton in an extended nonlinear Schrodinger equation with stimulated scattering on damping low-frequency waves and nonlinear dispersion [C]. E M ... grace university santa anaWebMar 1, 1984 · Blow-up criteria for linearly damped nonlinear Schrödinger equations Article Jul 2024 EECT Van Duong Dinh ... (3) If N = 1, the maximal existence time Tmax of E (t) can be chosen to be Tmax = +oo... grace united presbyterian church wayne nj grace united reformed church portland oregonWebFeb 1, 2024 · This work is devoted to the Cauchy problem for Schrödinger-damped Boussinesq System and its fractional form in one dimension. We obtained local mild solutions of the Systems by means of the... grace unity