Radiationless travelling waves in saturable nonlinear Schrödinger lattices

TRO Melvin; AR Champneys; PG Kevrekidis; J Cuevas

Radiationless travelling waves in saturable nonlinear Schrödinger lattices

TRO Melvin
, AR Champneys
, PG Kevrekidis
, J Cuevas

Systems Centre

Research output: Working paper

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Abstract

The longstanding problem of moving discrete breathers (intrinsic localised modes) in nonlinear Schrödinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose generalised Peierls-Nabarro barrier vanishes for isolated coupling strength values. Genuinely localised travelling waves (i.e., moving discrete breathers) are computed as a function of the system parameters for the first time. The relevant solutions exist only for finite velocities.

Original language	English
Publication status	Published - 30 Mar 2006

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

nonlinear Schrödinger lattices
photorefractive
localised travelling wave
embedded soliton

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Arctex5Submitted manuscript, 445 KB

http://hdl.handle.net/1983/425

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title = "Radiationless travelling waves in saturable nonlinear Schr{\"o}dinger lattices",

abstract = "The longstanding problem of moving discrete breathers (intrinsic localised modes) in nonlinear Schr{\"o}dinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose generalised Peierls-Nabarro barrier vanishes for isolated coupling strength values. Genuinely localised travelling waves (i.e., moving discrete breathers) are computed as a function of the system parameters for the first time. The relevant solutions exist only for finite velocities.",

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AU - Melvin, TRO

AU - Champneys, AR

AU - Kevrekidis, PG

AU - Cuevas, J

PY - 2006/3/30

Y1 - 2006/3/30

N2 - The longstanding problem of moving discrete breathers (intrinsic localised modes) in nonlinear Schrödinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose generalised Peierls-Nabarro barrier vanishes for isolated coupling strength values. Genuinely localised travelling waves (i.e., moving discrete breathers) are computed as a function of the system parameters for the first time. The relevant solutions exist only for finite velocities.

AB - The longstanding problem of moving discrete breathers (intrinsic localised modes) in nonlinear Schrödinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose generalised Peierls-Nabarro barrier vanishes for isolated coupling strength values. Genuinely localised travelling waves (i.e., moving discrete breathers) are computed as a function of the system parameters for the first time. The relevant solutions exist only for finite velocities.

KW - nonlinear Schrödinger lattices

KW - photorefractive

KW - localised travelling wave

KW - embedded soliton

M3 - Working paper

BT - Radiationless travelling waves in saturable nonlinear Schrödinger lattices

ER -

Radiationless travelling waves in saturable nonlinear Schrödinger lattices

Abstract

Research Groups and Themes

Keywords

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