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Ground states for the higher-order dispersion managed NLS equation in the absence of average dispersion

Authors
Journal
Journal of Differential Equations
0022-0396
Publisher
Elsevier
Publication Date
Volume
209
Issue
1
Identifiers
DOI: 10.1016/j.jde.2004.09.014
Keywords
  • Nonlinear Schrödinger Equation
  • Dispersion Management
  • Ground States
Disciplines
  • Communication

Abstract

Abstract The problem of existence of ground states in higher-order dispersion managed NLS equation is considered. The ground states are stationary solutions to dispersive equations with nonlocal nonlinearity which arise as averaging approximations in the context of strong dispersion management in optical communications. The main result of this note states that the averaged equation possesses ground state solutions in the practically and conceptually important case of the vanishing residual dispersions.

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