Collapse arrest and soliton stabilization in nonlocal nonlinear media. Academic Article uri icon

abstract

  • We investigate the properties of localized waves in cubic nonlinear materials with a symmetric nonlocal nonlinear response of arbitrary shape and degree of nonlocality, described by a general nonlocal nonlinear Schrdinger type equation. We prove rigorously by bounding the Hamiltonian that nonlocality of the nonlinearity prevents collapse in, e.g., Bose-Einstein condensates and optical Kerr media in all physical dimensions. The nonlocal nonlinear response must be symmetric and have a positive definite Fourier spectrum, but can otherwise be of completely arbitrary shape and degree of nonlocality. We use variational techniques to find the soliton solutions and illustrate the stabilizing effect of nonlocality.

published proceedings

  • Phys Rev E Stat Nonlin Soft Matter Phys

author list (cited authors)

  • Bang, O., Krolikowski, W., Wyller, J., & Rasmussen, J. J.

citation count

  • 421

complete list of authors

  • Bang, Ole||Krolikowski, Wieslaw||Wyller, John||Rasmussen, Jens Juul

publication date

  • October 2002