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

abstract

• 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

• NONLINEAR DYNAMICS

author list (cited authors)

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

citation count

• 23

complete list of authors

• Xu, Si-Liu||Petrovic, Nikola||Belic, Milivoj R

publication date

• April 2015

publisher

• Springer Nature  Publisher

published in

• Nonlinear Dynamics  Journal

keywords

• Nonlinear Optics
• Self-similarity Transformation
• Spatial Solitons

Digital Object Identifier (DOI)

• 10.1007/s11071-014-1891-2

start page

• 583

end page

• 589

volume

• 80

issue

• 1-2

URL

• http://dx.doi.org/10.1007/s11071-014-1891-2