Stable Pulse Solutions for the Nonlinear Schrödinger Equation with Higher Order Dispersion Management

DOI10.1137/S0036141002412586zbMath1061.35136OpenAlexW1993615578MaRDI QIDQ4652454

Christopher K. R. T. Jones, Jamison Moeser, Vadim Zharnitsky

Publication date: 28 February 2005

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141002412586

zbMATH Keywords

stabilitysolitary waveshomogenizationwell-posednessground stateperiodic mediaaveraging minimization

Mathematics Subject Classification ID

Variational inequalities (49J40) NLS equations (nonlinear Schrödinger equations) (35Q55) Composite media; random media in optics and electromagnetic theory (78A48) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)

Related Items (4)

Ground states for the higher-order dispersion managed NLS equation in the absence of average dispersion ⋮ Ground states for Schrödinger-type equations with nonlocal nonlinearity ⋮ Global solution for a sixth-order nonlinear Schrödinger equation ⋮ Breather solutions in the diffraction managed NLS equation

This page was built for publication: Stable Pulse Solutions for the Nonlinear Schrödinger Equation with Higher Order Dispersion Management