Statistical Approach of Modulational Instability in the Class of Derivative Nonlinear Schrödinger Equations

The modulational instability (MI) in the class of NLS equations is discussed using a statistical approach (SAMI). A kinetic equation for the two-point correlation function is studied in a linear approximation, and an integral stability equation is found. The modulational instability is associated wi...

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Main Authors: A. T. Grecu, D. Grecu, Anca Visinescu
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Published: 2006
Subjects:
sami
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.6566
http://arxiv.org/pdf/nlin/0610030v1.pdf
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spelling ftciteseerx:oai:CiteSeerX.psu:10.1.1.234.6566 2023-05-15T18:11:45+02:00 Statistical Approach of Modulational Instability in the Class of Derivative Nonlinear Schrödinger Equations A. T. Grecu D. Grecu Anca Visinescu The Pennsylvania State University CiteSeerX Archives 2006 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.6566 http://arxiv.org/pdf/nlin/0610030v1.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.6566 http://arxiv.org/pdf/nlin/0610030v1.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://arxiv.org/pdf/nlin/0610030v1.pdf text 2006 ftciteseerx 2016-01-07T18:54:59Z The modulational instability (MI) in the class of NLS equations is discussed using a statistical approach (SAMI). A kinetic equation for the two-point correlation function is studied in a linear approximation, and an integral stability equation is found. The modulational instability is associated with a positive imaginary part of the frequency. The integral equation is solved for different types of initial distributions (δ- function, Lorentzian) and the results are compared with those obtained using a deterministic approach (DAMI). The differences between MI of the normal NLS equation and derivative NLS equations is emphasized. Keywords:NLS equations, modulational instability PACS: 05.45 1. Text sami Unknown
institution Open Polar
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language English
description The modulational instability (MI) in the class of NLS equations is discussed using a statistical approach (SAMI). A kinetic equation for the two-point correlation function is studied in a linear approximation, and an integral stability equation is found. The modulational instability is associated with a positive imaginary part of the frequency. The integral equation is solved for different types of initial distributions (δ- function, Lorentzian) and the results are compared with those obtained using a deterministic approach (DAMI). The differences between MI of the normal NLS equation and derivative NLS equations is emphasized. Keywords:NLS equations, modulational instability PACS: 05.45 1.
author2 The Pennsylvania State University CiteSeerX Archives
format Text
author A. T. Grecu
D. Grecu
Anca Visinescu
spellingShingle A. T. Grecu
D. Grecu
Anca Visinescu
Statistical Approach of Modulational Instability in the Class of Derivative Nonlinear Schrödinger Equations
author_facet A. T. Grecu
D. Grecu
Anca Visinescu
author_sort A. T. Grecu
title Statistical Approach of Modulational Instability in the Class of Derivative Nonlinear Schrödinger Equations
title_short Statistical Approach of Modulational Instability in the Class of Derivative Nonlinear Schrödinger Equations
title_full Statistical Approach of Modulational Instability in the Class of Derivative Nonlinear Schrödinger Equations
title_fullStr Statistical Approach of Modulational Instability in the Class of Derivative Nonlinear Schrödinger Equations
title_full_unstemmed Statistical Approach of Modulational Instability in the Class of Derivative Nonlinear Schrödinger Equations
title_sort statistical approach of modulational instability in the class of derivative nonlinear schrödinger equations
publishDate 2006
url http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.6566
http://arxiv.org/pdf/nlin/0610030v1.pdf
genre sami
genre_facet sami
op_source http://arxiv.org/pdf/nlin/0610030v1.pdf
op_relation http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.6566
http://arxiv.org/pdf/nlin/0610030v1.pdf
op_rights Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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