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Among the various problems of laser pulse interaction with a photonic crystal (PC), soliton formation and light localization are very attractive problems because of their important applications in information technology, for example. In particular, propagation of soliton along the layers of PC is of interest. This propagation was analyzed recently in manu various papers on the basis of both Maxwell equations and Schrodinger equation and equation for a serious of discrete system. Light propagation in such structures was analyzed both experimentally and numerically as well. In this report we demonstrate a possibility of oscillating soliton formation near the boundary of nonlinear PC with ambient medium. It is very important that only a part of the soliton localizes in the PC. The other its part localizes near the boundary outside the PC. Hence, one can tell about the light energy localization at the lateral surface of the PC. This soliton can propagate across the layers many times without leaving the PC. After its achievement of PC boundary soliton leaves partly the PC and then comes back in PC. Then soliton propagates to other boundary of PC. This process can repeat many times.