Methods for discrete solitons in nonlinear lattices

Mark J. Ablowitz; Ziad H. Musslimani; Gino Biondini

doi:10.1103/PhysRevE.65.026602

Methods for discrete solitons in nonlinear lattices

Mark J. Ablowitz
, Ziad H. Musslimani
, Gino Biondini

Mathematics

University of Colorado Boulder

Research output: Contribution to journal › Article › peer-review

65 Scopus citations

Abstract

A method to find discrete solitons in nonlinear lattices is introduced. Using nonlinear optical waveguide arrays as a prototype application, both stationary and traveling-wave solitons are investigated. In the limit of small wave velocity, a fully discrete perturbative analysis yields formulas for the mode shapes and velocity.

Original language	English
Journal	Physical Review E
Volume	65
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.65.026602
State	Published - 2002

Access to Document

10.1103/PhysRevE.65.026602

Cite this

@article{43e6632bfb384494bb218299581e517b,

title = "Methods for discrete solitons in nonlinear lattices",

abstract = "A method to find discrete solitons in nonlinear lattices is introduced. Using nonlinear optical waveguide arrays as a prototype application, both stationary and traveling-wave solitons are investigated. In the limit of small wave velocity, a fully discrete perturbative analysis yields formulas for the mode shapes and velocity.",

author = "Ablowitz, \{Mark J.\} and Musslimani, \{Ziad H.\} and Gino Biondini",

year = "2002",

doi = "10.1103/PhysRevE.65.026602",

language = "English",

volume = "65",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

number = "2",

}

TY - JOUR

T1 - Methods for discrete solitons in nonlinear lattices

AU - Ablowitz, Mark J.

AU - Musslimani, Ziad H.

AU - Biondini, Gino

PY - 2002

Y1 - 2002

N2 - A method to find discrete solitons in nonlinear lattices is introduced. Using nonlinear optical waveguide arrays as a prototype application, both stationary and traveling-wave solitons are investigated. In the limit of small wave velocity, a fully discrete perturbative analysis yields formulas for the mode shapes and velocity.

AB - A method to find discrete solitons in nonlinear lattices is introduced. Using nonlinear optical waveguide arrays as a prototype application, both stationary and traveling-wave solitons are investigated. In the limit of small wave velocity, a fully discrete perturbative analysis yields formulas for the mode shapes and velocity.

UR - https://www.scopus.com/pages/publications/41349121316

U2 - 10.1103/PhysRevE.65.026602

DO - 10.1103/PhysRevE.65.026602

M3 - Article

AN - SCOPUS:41349121316

SN - 2470-0045

VL - 65

JO - Physical Review E

JF - Physical Review E

IS - 2

ER -

Methods for discrete solitons in nonlinear lattices

Abstract

Access to Document

Other files and links

Fingerprint

Cite this