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Exponential decay of dispersion managed solitons for vanishing average dispersion

Mathematical Physics 2010-09-21 v1 math.MP

Abstract

We show that any L2L^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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Cite

@article{arxiv.1009.3707,
  title  = {Exponential decay of dispersion managed solitons for vanishing average dispersion},
  author = {M. Burak Erdogan and Dirk Hundertmark and Young-Ran Lee},
  journal= {arXiv preprint arXiv:1009.3707},
  year   = {2010}
}

Comments

15 pages, 1 figure