Well-posedness and averaging of NLS with time-periodic dispersion management
From MaRDI portal
Publication:1940050
zbMath1261.35132arXiv1204.4468MaRDI QIDQ1940050
Paolo Antonelli, Ean-Claude Saut, Christof Sparber
Publication date: 5 March 2013
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.4468
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)
Related Items (18)
Interchanging space and time in nonlinear optics modeling and dispersion management models ⋮ On the management fourth-order Schrödinger-Hartree equation ⋮ Well-posedness and blowup for the dispersion-managed nonlinear Schrödinger equation ⋮ Averaging of nonlinear Schrödinger equations with time-oscillatory coefficients ⋮ Averaging of dispersion managed nonlinear Schrödinger equations ⋮ Numerical Integrators for Dispersion-Managed KdV Equation ⋮ The electrostatic limit for the 3D Zakharov system ⋮ Stability of the Hartree equation with time-dependent coefficients ⋮ Generalized regularized long wave equation with white noise dispersion ⋮ Well-posedness of dispersion managed nonlinear Schrödinger equations ⋮ Numerical methods for some nonlinear Schrödinger equations in soliton management ⋮ On the Cauchy problem for the nonlinear Schrödinger equations with time-dependent linear loss/gain ⋮ Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion ⋮ Stabilizing blow up solutions to nonlinear Schrödinger equations ⋮ Modified scattering for a dispersion-managed nonlinear Schrödinger equation ⋮ Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion ⋮ Standing waves for semilinear Schrödinger equations with discontinuous dispersion ⋮ On dispersion managed nonlinear Schrödinger equations with lumped amplification
This page was built for publication: Well-posedness and averaging of NLS with time-periodic dispersion management