Radiationless Traveling Waves in Saturable Nonlinear Schrödinger Lattices

T. R. O. Melvin, A. R. Champneys, P. G. Kevrekidis, and J. Cuevas
Phys. Rev. Lett. 97, 124101 – Published 18 September 2006

Abstract

The long-standing problem of moving discrete solitary waves in nonlinear Schrödinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose grand-canonical energy barrier vanishes for isolated coupling strength values. Genuinely localized traveling waves are computed as a function of the system parameters for the first time. The relevant solutions exist only for finite velocities.

  • Figure
  • Figure
  • Figure
  • Received 30 March 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.124101

©2006 American Physical Society

Authors & Affiliations

T. R. O. Melvin1, A. R. Champneys1, P. G. Kevrekidis2, and J. Cuevas3

  • 1Department of Engineering Mathematics, University of Bristol, BS8 1TR, United Kingdom
  • 2Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA
  • 3Grupo de Física No Lineal, Departamento de Física Aplicada I, Escuela Universitaria Politécnica, Virgen de África, 7, 41011 Sevilla, Spain

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 97, Iss. 12 — 22 September 2006

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×