A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-020-09781-3
Abstract: In this paper, we propose a linearly implicit Fourier pseudo-spectral scheme, which preserves the total mass and energy conservation laws for the damped nonlinear Schrödinger equation in three dimensions. With the aid of the semi-norm… read more here.
Keywords: pseudo spectral; fourier pseudo; nonlinear schr; damped nonlinear ... See more keywords
Stability of parametrically driven, damped nonlinear Dirac solitons.
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DOI: 10.1063/5.0281726
Abstract: The linear stability of two exact stationary solutions of the parametrically driven, damped nonlinear Dirac equation is investigated. Stability is ascertained through the resolution of the eigenvalue problem, which stems from the linearization of this… read more here.
Keywords: stability; damped nonlinear; driven damped; stability parametrically ... See more keywords
Standing Solitons Tuned by Impurities in Damped Nonlinear Lattices under External Excitation.
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DOI: 10.1103/physrevlett.133.187201
Abstract: Periodic chains of nonlinear oscillators are known to support solitonic solutions within a specific range of physical parameters when damping effect is considered. This Letter investigates the dynamics of stationary solitons in damped nonlinear lattices… read more here.
Keywords: damped nonlinear; external excitation; lattices external; standing solitons ... See more keywords
Scattering in the Energy Space for the Damped Nonlinear Fourth-Order Schrödinger Equation in Higher Dimensions Under Spherical Symmetry
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DOI: 10.3390/sym17091541
Abstract: We establish global decay and scattering in the energy space H2(Rd), for d≥5, of radial solutions to the damped nonlinear biharmonic Schrödinger equation with general complex-valued, time-dependent damping coefficients. Assuming radial data exploits O(d)-symmetry and… read more here.
Keywords: energy space; schr dinger; damped nonlinear; symmetry ... See more keywords
Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations
Sign Up to like & getrecommendations! Published in 2019 at "Opuscula Mathematica"
DOI: 10.7494/opmath.2019.39.2.297
Abstract: Global well-posedness and finite time blow up issues for some strongly damped nonlinear wave equation are investigated in the present paper. For subcritical initial energy by employing the concavity method we show a finite time… read more here.
Keywords: finite time; nonlinear wave; strongly damped; global well ... See more keywords