Exponential decay of dispersion managed solitons for vanishing average dispersion

M. Burak Erdoǧan; Dirk Hundertmark; Young Ran Lee

doi:10.4310/MRL.2011.v18.n1.a2

Exponential decay of dispersion managed solitons for vanishing average dispersion

M. Burak Erdoǧan, Dirk Hundertmark, Young Ran Lee

Mathematics

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

Abstract

We show that any L² solution of the Gabitov-Turitsyn equation describing dispersion managed solitons decay exponentially in space and frequency domains. This confirms in the affirmative Lushnikov's conjecture of exponential decay of dispersion managed solitons.

Original language	English (US)
Pages (from-to)	11-24
Number of pages	14
Journal	Mathematical Research Letters
Volume	18
Issue number	1
DOIs	https://doi.org/10.4310/MRL.2011.v18.n1.a2
State	Published - Jan 2011

Keywords

Dispersion managed NLS
Exponential decay
Gabitov-turitsyn equation

ASJC Scopus subject areas

General Mathematics

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10.4310/MRL.2011.v18.n1.a2

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title = "Exponential decay of dispersion managed solitons for vanishing average dispersion",

abstract = "We show that any L2 solution of the Gabitov-Turitsyn equation describing dispersion managed solitons decay exponentially in space and frequency domains. This confirms in the affirmative Lushnikov's conjecture of exponential decay of dispersion managed solitons.",

keywords = "Dispersion managed NLS, Exponential decay, Gabitov-turitsyn equation",

author = "Erdoǧan, {M. Burak} and Dirk Hundertmark and Lee, {Young Ran}",

year = "2011",

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Exponential decay of dispersion managed solitons for vanishing average dispersion

Abstract

Keywords

ASJC Scopus subject areas

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