Exact spatiotemporal wave and soliton solutions to the generalized (3+1)-dimensional nonlinear Schrödinger equation with linear potential Academic Article uri icon


  • Exact extended traveling wave and spatiotemporal soliton solutions to the generalized (3+1)-dimensional Schrödinger equation with distributed coefficients and linear potential are found. We obtain solutions for four combinations of the temporal dependence of the coefficients: constant and sinusoidal diffraction coefficients and constant and sinusoidal external electric fields. A number of stable periodic soliton solutions are obtained whose signal does not decrease with time in the absence of an externally induced loss. © 2011 The Royal Swedish Academy of Sciences.

author list (cited authors)

  • Petrović, N. Z., Zahreddine, H., & Belić, M. R.

citation count

  • 6

publication date

  • June 2011