Exponential decay of dispersion managed solitons for vanishing average dispersion
classification
🧮 math-ph
math.MP
keywords
dispersiondecaymanagedsolitonsexponentialaffirmativeaverageconfirms
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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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