Mathematical Research Letters
Volume 18 (2011)
Exponential decay of dispersion managed solitons for vanishing average dispersion
Pages: 11 – 24
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.