Open AccessModulation 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.