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Breathers in a Discrete Nonlinear Schrödinger type Model : Exact Stability Results

Avijit Lahiri·Subhendu Panda·Tarun K. Roy
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Abstract

Exact stability analysis of 1-site breathers in an NLS type model (ref. [4], see below) indicates destabilisation through a growth rate becoming positive as a stability border is crossed, while above a critical spatial decay rate ($λ_c$) the breather is always unstable. Similar analysis on 2-site breathers with phase difference $π$ (see below) indicates destabilisation through {\it Krein collision} of a pair of growth rates. All eigenmodes can be exactly calculated and conform to numerical estimates.

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Avijit Lahiri, Subhendu Panda, Tarun K. Roy. 2002-04-01. Breathers in a Discrete Nonlinear Schrödinger type Model : Exact Stability Results. https://doi.org/10.1103/physreve.66.056603

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