Exact solutions for the quintic nonlinear Schrodinger equation with inhomogeneous nonlinearity
J. Belmonte-Beitia
Chaos, Solitons and Fractals 41, 1005-1009 (2009)
MOLAB authors
Belmonte Beitia, Juan. 
Abstract
In this paper, using Lie group theory and canonical transformations, we construct explicit solutions of quintic nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities. We present the general theory and use it to study some examples.