Localization and Delocalization phenomena in one-dimensional disordered nonlinear waveguide arrays

来源 :International Conference Nonlinear Waves-Theory and Applicat | 被引量 : 0次 | 上传用户:lqw1100
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  In this talk, I will show you our recent results about nonlinear spatial delocalization in disordered lattices [1].50 years ago, Anderson showed that a discrete system with a random distribution of on-site energies possesses a set of linear localized modes, denom inated as Anderson States (ASs), resulting in the absence of diffusion across the lattice [2].If we consider nonlinearity and discreteness we could also expect localization, because the interplay of these two effects is responsible for the appearance of nonlinear localized states called discrete solitons/breathers [3].Therefore, an important question would be:What happen if discreteness, disorder and nonlinearity are present simultaneously? Many different approaches can be considered to answer that question.In particular, we study a nonlinear-induced delocalization of an initially very localized state in a disordered lattice.
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