A bright 2D spatial soliton in inhomogeneous Kerr media with PT-symmetric potentials

Abstract

The nonlinear Schrödinger equation with inhomogeneous diffraction and nonlinearity in the presence of PT-symmetric potentials is investigated, and an analytical bright 2D spatial soliton is obtained. The positive and negative signs in the parameters of the PT-symmetric potentials lead to four permutation and combination cases. The dynamical evolutions of the spatial soliton in the periodic modulated system and the diffraction decreasing waveguide are discussed. Dynamical characteristics of the form factors for the spatial soliton including the amplitude, width and phase are studied. Moreover, two kinds of nonlinear PT phase change are presented. These results may provide alternative methods in potential applications of synthetic PT-symmetric systems.

Analytical stable Gaussian soliton supported by a parity-time symmetric potential with power-law nonlinearity

“…The role of PT-symmetry has been investigated in nonlinear tunneling [15] and on soliton propagation in nonlinear couplers [7,28,29]. Two dimensional solitons in PT-symmetric periodic [6], nonlocal [26] and inhomogeneous [27] nonlinear media are also studied. In most of these works, the localized solutions are obtained with the help of some numerical techniques.…”

Analytical Study of Combo-Solitons in Optical Metamaterials with Cubic-Quintic Nonlinearity

“…(2) becomes to 1-dark soliton with a grayness. Recently, the ansatz approach and the simplest equation expansion method [17][18][19][20][21][22][23][24][25] were applied to derive the 1-bright and dark solitons. In this work, we are interested for seeking analytical bright-dark combined solitons, which are given by Eq.…”

Effect of power-law nonlinearity on ${ \mathcal P }{ \mathcal T }$-symmetric optical system with fourth-order diffraction

“…For instance, considering the Kerr nonlinear media, one can find bright solitons [18], dark solitons and vortices [28], gray solitons [29], nonlocal Gap solitons [30]. Some solutions are also available in multi-dimensional  -symmetric potentials [31][32][33][34][35][36].…”