2010•arXiv (Cornell University)Open access

Exponential decay of dispersion managed solitons for vanishing average dispersion

M. Burak Erdoğan, Dirk Hundertmark, Young-Ran Lee

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Abstract

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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What this paper is about

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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Available abstract

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.

Key concepts: Dispersion (optics), Exponential decay, Exponential function, Exponential growth, Physics, Conjecture, Space (punctuation), Soliton

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