Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management

Details Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management

2010-11-09

arxiv.org/abs/1011.2158v1

Phys. Rev. Lett., 105, 113901 (2010)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 4 figures

Scientific paper

The existence of compactons in the discrete nonlinear Schr\"odinger 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 on modulation parameters {\it 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.

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