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Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management

By: F.Kh. Abdullaev
From: CFTC
At: Instituto de Investigação Interdisciplinar, A2-25
[2010-10-14] 11:30

The existence of compactons in the discrete nonlinear Schrödinger equation in the presence of fast periodic time modulations of the nonlinearity is demonstrated. In the averaged DNLS equation the resulting effective inter-well tunneling depends not only on modulation parameters and on the field amplitude. This  introduces  nonlinear dispersion in the system and can lead to a prototypical realization of single- or multi-site stable discrete  compactons in nonlinear optical waveguide and BEC arrays. These structures can dynamically arise out of Gaussian or compactly supported initial data.