Publications by the Laboratory of Theoretical Physics

Gap-soliton trapping  in random one-dimensional gratings, E. N. Tsoy, C. M. de Sterke, F. Kh. Abdullaev, Phys. Rev. A 78, 031803(R) (2008).    [PDF-file (185 kB)] Abstract:  The dynamics of gap solitons in random gratings is studied. We show that the influence of disorder is averaged over the soliton width, so that the soliton acts as a low-pass filter. The averaging results in an effective potential, which can trap solitons. The statistical properties of the potential are found. We show that soliton trapping is related to level crossing by a random function, which allows us to find the mean number of soliton reflections and the mean distance between consecutive reflections. The papers have Copyright © by the corresponding publishers. The papers may be downloaded for personal use only. Any other use requires prior permission of the author and the publisher.