Chaotic self-trapped beams in the nonlocal nonlinear system with the sine-oscillation response

Abstract

The propagation of the unstable multipeak solitons in the nonlocal nonlinear system with the sine-oscillation response was examined in this paper. It was found that the beams are self-trapped while possessing the chaotic property under both the conditions of negative Kerr coefficient at strong nonlocality and positive Kerr coefficient at weak nonlocality. The self-trapping is represented by the invariant beam width and spectrum width. The chaotic property, denoted by the positive Lyapunov exponents, corresponds to the phenomenon that the profiles of the intensity change irregularly in the propagation direction. Compared with the known chaoticons, which were found only in the strongly nonlocal nonlinear system with the positively defined attenuating response for the positive Kerr coefficient, these beams have different characteristics in the interaction between beams and distribution of energy.