Exact spatiotemporal wave and soliton solutions to the generalized (3+1)-dimensional nonlinear Schrodinger equation with linear potential
Author(s): Petrovic, NZ (Petrovic, Nikola Z.); Zahreddine, H (Zahreddine, Hussein); Belic, MR (Belic, Milivoj R.)
Exact extended traveling wave and spatiotemporal soliton solutions to the generalized (3+1)-dimensional Schrödinger equation with distributed coefficients and linear potential are found. We obtain solutions for four combinations of the temporal dependence of the coefficients: constant and sinusoidal diffraction coefficients and constant and sinusoidal external electric fields. A number of stable periodic soliton solutions are obtained whose signal does not decrease with time in the absence of an externally induced loss.
Source: PHYSICA SCRIPTA 83(6): Art. No. 065001 JUN 2011