A numerical solution, travelling-wave-like spatial soliton is obtained by using
travelling-wave transform along with numerical methods to solve the photorefractive nonlinear
equation, and its necessary forming conditions are presented. The evolution properties of the
travelling-wave-like spatial soliton in the photorefractive crystal are investigated. The results
show that travelling-wave-like spatial soliton can not only keep its shape invariably, but also
translate its energy transversely. It is possible for controllable deflection of the spatial soliton. The
deflection angle depends on the magnitude of the transverse phase modulation coefficient. These
properties of the multi-soliton coherent interactions can be potentially applied in optical
computation.
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