title: Modulation stability analysis of exact multidimensional solutions to the generalized nonlinear Schrödinger 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 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.
authors.forename: Nikola Z
authors.initials: NZ
authors.lastname: Petrović
authors.forename: Najdan B
authors.initials: NB
authors.lastname: Aleksić
authors.forename: Milivoj
authors.initials: M
authors.lastname: Belić