Super-exponential decay of Diffraction Managed Solitons

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This is the second part of a series of papers where we develop rigorous decay estimates for breather solutions of an averaged version of the non-linear Schrödinger equation. In this part we study the diffraction managed discrete non-linear Schrödinger equation, an equation which describes coupled waveguide arrays with periodic diffraction management geometries. We show that, for vanishing average diffraction, all solutions of the non-linear and non-local diffraction management equation decay super-exponentially. As a byproduct of our method, we also have a simple proof of existence of diffraction managed solitons in the case of vanishing average diffraction.
29 pages, 1 figure

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Mathematical Physics, 35Q55; 37K40

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http://salesiana.dossiersoluciones.com/handle/123456789/159450

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.3783
 http://arxiv.org/abs/0804.3783

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arXiv