Exact solutions of the (2+1)-dimensional quintic nonlinear Schrödinger 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 Schrödinger 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.

author list (cited authors)

  • Xu, S., Petrović, N., & Belić, M. R.

citation count

  • 20

publication date

  • April 2015