Exact solutions of the (2+1)-dimensional quintic nonlinear Schrdinger equation with variable coefficients Academic Article uri icon


  • 2015, Springer Science+Business Media Dordrecht. Using the self-similarity transformation, we find analytical spatial bright and dark self-similar solitons, i.e., the similaritons, of the generalized (2+1)-dimensional quintic nonlinear Schrdinger equation with varying diffraction, nonlinearity, and gain. Characteristic examples with physically relevant behavior of these similaritons are studied, and the stability of these solutions is verified with numerical integration.

published proceedings


author list (cited authors)

  • Xu, S., Petrovic, N., & Belic, M. R.

citation count

  • 22

complete list of authors

  • Xu, Si-Liu||Petrović, Nikola||Belić, Milivoj R

publication date

  • January 2015