Stability enhancement, steering and split of optical soliton in increasing lattices

In this paper, we address a new type of spatially varying lattice that gradually increases along the direction of the propagation, our studies show that this kind of lattice can lead to controllable trapping of light in the different locations of the array, the stability of solitons enhances and soliton can be compressed synchronously. One can believe that these properties is of great importance for us to enhance the stability of optical system and to achieve more effective control of soliton.