Eur. Phys. J. Special Topics 173, 81-86 (2009)
https://doi.org/10.1140/epjst/e2009-01068-8

Optical solitons in 1+2 dimensions with non-Kerr law nonlinearity

¹ Center for Research and Education in Optical Sciences and Applications, Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE, 19901-2277, USA
² Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 1800 Nis, Serbia

Abstract

This paper integrates the nonlinear Schrödinger's equation in 1+2 dimensions with power and dual-power law nonlinearity. An exact 1-soliton solution is obtained in closed form using the solitary wave ansatze for these two laws. The special cases of Kerr law and parabolic law naturally fall out of these two laws.