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

Nikola Petrović | Zendy; Najdan B. Aleksić | Zendy; Milivoj R. Belić | Zendy

Open Access

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

Author(s) -

Nikola Petrović,

Najdan B. Aleksić,

Milivoj R. Belić

Publication year - 2015

Publication title -

optics express

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.394

H-Index - 271

ISSN - 1094-4087

DOI - 10.1364/oe.23.010616

Subject(s) - gross–pitaevskii equation , nonlinear schrödinger equation , stability (learning theory) , nonlinear system , modulation (music) , dispersion (optics) , mathematical analysis , mathematics , physics , elliptic function , nonlinear optics , schrödinger equation , quantum mechanics , computer science , machine learning , acoustics

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.

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