Exact solitons in three-dimensional weakly nonlocal nonlinear time-modulated parabolic law media

The three-dimensional (3D) nonlocal nonlinear Schrodinger equation (NNLSE) with time-dependent parabolic law nonlinearity and an external potential, describes the propagation of an optical pulse in the weakly nonlocal nonlinear parabolic law media, has been studied analytically. Explicit solutions are constructed by using the Jacobian elliptic equations (JEEs) expansion method. The 3D nonlocal spatial bright and dark optical solitons have been found. (c) 2013 Elsevier Ltd. All rights reserved.