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Based on the biased centrosymmetric photorefractive media, we investigate numerically the propagation and interaction properties of Airy-Gaussian beams. The single Airy-Gaussian beam forms the one-component breather with the help of the photorefractive nonlinearity. The interaction properties of two Airy-Gaussian beams can be controlled by adjusting the relative parameters, such as photorefractive nonlinearity, transverse distance and relative phase of two incident beams. The two-component breather with ladder structure can be observed for both the in-phase and out-of-phase cases when the self-acceleration property is balanced by the photorefractive nonlinearity. The one- or three-component breathers can be observed for the in-phase case only when the transverse distance takes a certain range. [ABSTRACT FROM AUTHOR]

We investigate the separate spatial soliton pair supported by both the linear and quadratic electro-optic effects. The numerical solutions of the bright–bright, dark–dark and bright–dark separate spatial soliton pairs are deduced from the coupling equations. The intensity profiles, coupling effects and dynamical evolutions of three types of separate spatial soliton pairs are analysed by numerical method. The two solitons in bright–bright separate spatial soliton pair can affect each other only by adjusting the background beam intensity. In dark–dark soliton pair, the two solitons can affect each other by adjusting the soliton beam intensity besides the background beam. And in bright–dark soliton pair, the bright soliton can affect the dark soliton only by the background beam intensity but the dark soliton can affect the bright soliton by both the background beam and soliton beam intensity. [ABSTRACT FROM AUTHOR]

We investigate numerically the propagation and interaction characteristics of finite-energy Airy-Hermite-Gaussian beams in biased photorefractive media. For the case of first-order Hermite polynomial, two main lobes of the initial input beam can form breathing solitons with two components. The interval between two soliton components in the y-direction increases gradually with the propagation distance, while the central position of two soliton components in the x-direction is almost unchanged during propagation. Moreover, in interaction situations, four main lobes of the two Airy-Hermite-Gaussian beams can also form breathing solitons with four components under the in-phase and out-of-phase conditions, respectively. [ABSTRACT FROM AUTHOR]