Dispersion managed solitons in the presence of saturated nonlinearity

Dirk Hundertmark; Young Ran Lee; Tobias Ried; Vadim Zharnitsky

doi:10.1016/j.physd.2017.06.004

Dispersion managed solitons in the presence of saturated nonlinearity

Dirk Hundertmark, Young Ran Lee, Tobias Ried, Vadim Zharnitsky

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

Abstract

The averaged dispersion managed nonlinear Schrödinger equation with saturated nonlinearity is considered. It is shown that under rather general assumptions on the saturated nonlinearity, the ground state solution corresponding to the dispersion managed soliton can be found for both zero residual dispersion and positive residual dispersion. The same applies to diffraction management solitons, which are a discrete version describing certain waveguide arrays.

Original language	English (US)
Pages (from-to)	65-69
Number of pages	5
Journal	Physica D: Nonlinear Phenomena
Volume	356-357
DOIs	https://doi.org/10.1016/j.physd.2017.06.004
State	Published - Oct 1 2017

Keywords

Diffraction management
Dispersion management
Ground states
Saturated nonlinearity

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/j.physd.2017.06.004

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title = "Dispersion managed solitons in the presence of saturated nonlinearity",

abstract = "The averaged dispersion managed nonlinear Schr{\"o}dinger equation with saturated nonlinearity is considered. It is shown that under rather general assumptions on the saturated nonlinearity, the ground state solution corresponding to the dispersion managed soliton can be found for both zero residual dispersion and positive residual dispersion. The same applies to diffraction management solitons, which are a discrete version describing certain waveguide arrays.",

keywords = "Diffraction management, Dispersion management, Ground states, Saturated nonlinearity",

author = "Dirk Hundertmark and Lee, {Young Ran} and Tobias Ried and Vadim Zharnitsky",

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doi = "10.1016/j.physd.2017.06.004",

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AU - Hundertmark, Dirk

AU - Lee, Young Ran

AU - Ried, Tobias

AU - Zharnitsky, Vadim

PY - 2017/10/1

Y1 - 2017/10/1

N2 - The averaged dispersion managed nonlinear Schrödinger equation with saturated nonlinearity is considered. It is shown that under rather general assumptions on the saturated nonlinearity, the ground state solution corresponding to the dispersion managed soliton can be found for both zero residual dispersion and positive residual dispersion. The same applies to diffraction management solitons, which are a discrete version describing certain waveguide arrays.

AB - The averaged dispersion managed nonlinear Schrödinger equation with saturated nonlinearity is considered. It is shown that under rather general assumptions on the saturated nonlinearity, the ground state solution corresponding to the dispersion managed soliton can be found for both zero residual dispersion and positive residual dispersion. The same applies to diffraction management solitons, which are a discrete version describing certain waveguide arrays.

KW - Diffraction management

KW - Dispersion management

KW - Ground states

KW - Saturated nonlinearity

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

ER -

Dispersion managed solitons in the presence of saturated nonlinearity

Abstract

Keywords

ASJC Scopus subject areas

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