Physics – Mathematical Physics
Scientific paper
2010-08-27
Physics
Mathematical Physics
30 pages
Scientific paper
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 solutions are found as maximizers of non-linear and non-local vari- ational problems which are invariant under a large non-compact group. Our proof of existence of maximizer is rather direct and avoids the use of Lions' concentration compactness argument or Ekeland's variational principle.
Hundertmark Dirk
Lee Young-Ran
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