Radiationless travelling waves in saturable nonlinear Schrodinger lattices

TRO Melvin; AR Champneys; PG Kevrekidis; J Cuevas

doi:10.1103/PhysRevLett.97.124101

Radiationless travelling waves in saturable nonlinear Schrodinger lattices

TRO Melvin, AR Champneys, PG Kevrekidis, J Cuevas

Systems Centre

Research output: Contribution to journal › Article (Academic Journal) › peer-review

97 Citations (Scopus)

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.

Translated title of the contribution	Radiationless travelling waves in saturable nonlinear Schrodinger lattices
Original language	English
Pages (from-to)	1 - 4
Number of pages	4
Journal	Physical Review Letters
Volume	97 (12)
DOIs	https://doi.org/10.1103/PhysRevLett.97.124101
Publication status	Published - Sept 2006

Bibliographical note

Publisher: American Physical Society
Other identifier: Art No: 124101

Research Groups and Themes

Engineering Mathematics Research Group

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10.1103/PhysRevLett.97.124101

http://link.aps.org/abstract/PRL/v97/e124101

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title = "Radiationless travelling waves in saturable nonlinear Schrodinger lattices",

abstract = "The long-standing problem of moving discrete solitary waves in nonlinear Schr{\"o}dinger 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.",

author = "TRO Melvin and AR Champneys and PG Kevrekidis and J Cuevas",

note = "Publisher: American Physical Society Other identifier: Art No: 124101",

year = "2006",

month = sep,

doi = "10.1103/PhysRevLett.97.124101",

language = "English",

volume = "97 (12)",

pages = "1 -- 4",

journal = "Physical Review Letters",

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publisher = "American Physical Society (APS)",

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T1 - Radiationless travelling waves in saturable nonlinear Schrodinger lattices

AU - Melvin, TRO

AU - Champneys, AR

AU - Kevrekidis, PG

AU - Cuevas, J

N1 - Publisher: American Physical Society Other identifier: Art No: 124101

PY - 2006/9

Y1 - 2006/9

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevLett.97.124101

DO - 10.1103/PhysRevLett.97.124101

M3 - Article (Academic Journal)

SN - 1079-7114

VL - 97 (12)

SP - 1

EP - 4

JO - Physical Review Letters

JF - Physical Review Letters

ER -

Radiationless travelling waves in saturable nonlinear Schrodinger lattices

Abstract

Bibliographical note

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