Light bullets in the spatiotemporal nonlinear Schrodinger equation with a variable negative diffraction coefficient Academic Article uri icon


  • We report approximate analytical solutions to the (3+1)-dimensional spatiotemporal nonlinear Schrdinger equation, with the uniform self-focusing nonlinearity and a variable negative radial diffraction coefficient, in the form of three-dimensional solitons. The model may be realized in artificial optical media, such as left-handed materials and photonic crystals, with the anomalous sign of the group-velocity dispersion (GVD). The same setting may be realized through the interplay of the self-defocusing nonlinearity, normal GVD, and positive variable diffraction. The Hartree approximation is utilized to achieve a suitable separation of variables in the model. Then, an inverse procedure is introduced, with the aim to select a suitable profile of the modulated diffraction coefficient supporting desirable soliton solutions (such as dromions, single- and multilayer rings, and multisoliton clusters). The validity of the analytical approximation and stability of the solutions is tested by means of direct simulations. 2011 American Physical Society.

published proceedings


author list (cited authors)

  • Zhong, W., Belic, M., Assanto, G., Malomed, B. A., & Huang, T.

citation count

  • 32

complete list of authors

  • Zhong, Wei-Ping||Belić, Milivoj||Assanto, Gaetano||Malomed, Boris A||Huang, Tingwen

publication date

  • October 2011