Modulation stability analysis of exact multidimensional solutions to the generalized nonlinear Schrödinger equation and the Gross-Pitaevskii equation using a variational approach

Nikola Z. Petrović; Najdan B. Aleksić; Milivoj Belí

doi:10.1364/OE.23.010616

Modulation stability analysis of exact multidimensional solutions to the generalized nonlinear Schrödinger equation and the Gross-Pitaevskii equation using a variational approach

Nikola Z. Petrović, Najdan B. Aleksić, Milivoj Belí

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

7 Citations (Scopus)

Abstract

We analyze the modulation stability of spatiotemporal solitary and traveling wave solutions to the multidimensional nonlinear Schrödinger equation and the Gross-Pitaevskii equation with variable coefficients that were obtained using Jacobi elliptic functions. For all the solutions we obtain either unconditional stability, or a conditional stability that can be furnished through the use of dispersion management.

Original language	English
Pages (from-to)	10616-10630
Number of pages	15
Journal	Optics Express
Volume	23
Issue number	8
DOIs	https://doi.org/10.1364/OE.23.010616
Publication status	Published - 2015
Externally published	Yes

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title = "Modulation stability analysis of exact multidimensional solutions to the generalized nonlinear Schr{\"o}dinger equation and the Gross-Pitaevskii equation using a variational approach",

abstract = "We analyze the modulation stability of spatiotemporal solitary and traveling wave solutions to the multidimensional nonlinear Schr{\"o}dinger equation and the Gross-Pitaevskii equation with variable coefficients that were obtained using Jacobi elliptic functions. For all the solutions we obtain either unconditional stability, or a conditional stability that can be furnished through the use of dispersion management.",

author = "Petrovi{\'c}, {Nikola Z.} and Aleksi{\'c}, {Najdan B.} and Milivoj Bel{\'i}",

note = "Publisher Copyright: {\textcopyright} 2015 Optical Society of America.",

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language = "English",

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pages = "10616--10630",

journal = "Optics Express",

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T1 - Modulation stability analysis of exact multidimensional solutions to the generalized nonlinear Schrödinger equation and the Gross-Pitaevskii equation using a variational approach

AU - Petrović, Nikola Z.

AU - Aleksić, Najdan B.

AU - Belí, Milivoj

PY - 2015

Y1 - 2015

N2 - We analyze the modulation stability of spatiotemporal solitary and traveling wave solutions to the multidimensional nonlinear Schrödinger equation and the Gross-Pitaevskii equation with variable coefficients that were obtained using Jacobi elliptic functions. For all the solutions we obtain either unconditional stability, or a conditional stability that can be furnished through the use of dispersion management.

AB - We analyze the modulation stability of spatiotemporal solitary and traveling wave solutions to the multidimensional nonlinear Schrödinger equation and the Gross-Pitaevskii equation with variable coefficients that were obtained using Jacobi elliptic functions. For all the solutions we obtain either unconditional stability, or a conditional stability that can be furnished through the use of dispersion management.

UR - http://www.scopus.com/inward/record.url?scp=84948684101&partnerID=8YFLogxK

U2 - 10.1364/OE.23.010616

DO - 10.1364/OE.23.010616

M3 - Article

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SN - 1094-4087

VL - 23

SP - 10616

EP - 10630

JO - Optics Express

JF - Optics Express

IS - 8

ER -

Modulation stability analysis of exact multidimensional solutions to the generalized nonlinear Schrödinger equation and the Gross-Pitaevskii equation using a variational approach

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