Localized states in discrete nonlinear Schrödinger equations

David Cai, A. R. Bishop, Niels Grønbech-Jensen

Research output: Contribution to journalArticlepeer-review


A new 1D discrete nonlinear Schrödinger (NLS) Hamiltonian is introduced which includes the integrable Ablowitz-Ladik system as a limit. The symmetry properties of the system are studied. The relationship between intrinsic localized states and the soliton of the Ablowitz-Ladik NLS is discussed, including the role of discretization as a mechanism controlling collapse. It is pointed out that a staggered localized state can be viewed as a particle of a negative effective mass. It is shown that staggered localized states can exist in the discrete dark NLS. The motion of localized states and Peierls-Nabarro pinning are also studied.

Original languageEnglish (US)
Pages (from-to)591-595
Number of pages5
JournalPhysical Review Letters
Issue number5
StatePublished - 1994

ASJC Scopus subject areas

  • General Physics and Astronomy


Dive into the research topics of 'Localized states in discrete nonlinear Schrödinger equations'. Together they form a unique fingerprint.

Cite this