22 citations · 49 across the 11 of their papers we have counts for
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math-ph2010
Exponential decay of dispersion managed solitons for vanishing average dispersion
M. Burak Erdogan, Dirk Hundertmark, Young-Ran Lee
We show that any solution of the Gabitov-Turitsyn equation describing dispersion managed solitons decay exponentially in space and frequency domains. This confirms in the aff…
math-ph2010★ 1 cited
Spectral properties of a limit-periodic Schrödinger operator in dimension two
Yulia Karpeshina, Young-Ran Lee
We study Schrödinger operator in dimension two, being a limit-periodic potential. We prove that the spectrum of contains a semiaxis and there is a family of…
math-ph2010★ 22 cited
On non-local variational problems with lack of compactness related to non-linear optics
Dirk Hundertmark, Young-Ran Lee
We give a simple proof of existence of solutions of the dispersion manage- ment and diffraction management equations for zero average dispersion, respectively diffraction. These so…