Exponential decay of dispersion managed solitons for vanishing average dispersion

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.

15 pages, 1 figure

References in corpus (2)

• Dispersion-managed soliton in a strong dispersion map limit
• Oscillating tails of dispersion-managed soliton