Modulation stability analysis of exact multidimensional solutions to the generalized nonlinear Schrdinger equation and the Gross-Pitaevskii equation using a variational approach. Academic Article uri icon

abstract

  • We analyze the modulation stability of spatiotemporal solitary and traveling wave solutions to the multidimensional nonlinear Schrdinger 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.

published proceedings

  • Opt Express

author list (cited authors)

  • Petrovi, N. Z., Aleksi, N. B., & Beli, M.

publication date

  • January 1, 2015 11:11 AM