Exponential decay of dispersion managed solitons for vanishing average dispersion

Physics – Mathematical Physics

Scientific paper

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15 pages, 1 figure

Scientific paper

We show that any $L^2$ solution of the Gabitov-Turitsyn equation describing
dispersion managed solitons decay exponentially in space and frequency domains.
This confirms in the affirmative Lushnikov's conjecture of exponential decay of
dispersion managed solitons.

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