Dynamics of dipole breathers in nonlinear media with a spatial exponential-decay nonlocality

Abstract

By applying the variational approach, the analytical expression of dipole breathers is obtained in nonlinear media with an exponential-decay nonlocal response. The parameters of the width, the amplitude, the phase-front curvature, and the phase of the complex amplitude of the dipole breathers are all given in analytical expressions. It is found that the input power plays a key role in the evolution of dipole breathers, whose magnitude decides the change of the beam width (compressed or broadened) during propagation. The physical reason for the evolution of dipole breathers is analyzed in detail. Numerical simulations are also carried out, and the analytical solutions are in good agreement with numerical simulations.

Tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality

“…For (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality, we consider that solitons come into being from the Hermite-Gaussian beams. In our previous research, we have proven that the first-order Hermite-Gaussian function can be used to describe the dipole solitons in such nonlocal media 52 . Hence, we take the second- and third-order Hermite-Gaussian functions as the trial functions of tripole and quadrupole solitons, respectively.…”

Propagation dynamics of dipole breathing wave in lossy nonlocal nonlinear media

“…[29,30] In our previous works, we discussed the interaction between anomalous vortex beams, [31] the evolution of higher-order hyperbolic sine Gaussian solitons and the propagation dynamics of dipole breathers in nonlocal nonlinear media. [32,33] We also theoretically discussed the propagation and interaction characteristics of various moving solitons and soliton arraies, including the breathing state in HNNMs. [34][35][36][37][38] As a typical representative of HNNMs, NLCMs have received a great deal of attention experimentally and theoretically.…”

Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium

“…During the past decades, considerable research interest has been focused on the nonlinear Schrödinger (NLS) equation, which describes the propagation of optical solitons in a mono-mode fiber for the scalar field [1][2][3][4][5][6][7][8][9][10][11][12], and the principle of such scalar NLS soliton is R. Guo based on the balance between the group velocity dispersion (GVD) and self-phase modulation (SPM) [1]. In view of the nonlinear phase change resulting from the cross-phase modulation(XPM) in the birefringent fibers or multi-mode fibers, one must consider interactions of several field components at different frequencies or polarizations, and the dynamic features of such solitons are usually governed by the coupled nonlinear Schrödinger (CNLS) systems [1].…”

“…i u 2ζ ± 1 2 u 2τ τ + |u 1 | 2 + |u 2 | 2 u 2 = 0, (1.1b) where ζ and τ indicate the normalized spatial and temporal coordinates, the + and − signs before the dispersive terms express the anomalous or normal dispersive regime, respectively, |u 1 | 2 u 1 and |u 2 | 2 u 2 denote SPM effects, and XPM effects |u 1 | 2 u 2 and |u 2 | 2 u 1 simultaneously serve as the incoherent coupling terms [12,13]. Another type of vector solitons is associated with the coherent CNLS system which can be used as carriers of the switched information in optical fields [1].…”