Decay Estimates and Smoothness for Solutions of the Dispersion Managed Non-linear Schrodinger Equation

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초록

We study the decay and smoothness of solutions of the dispersion managed non-linear Schrodinger equation in the case of zero residual dispersion. Using new x-space versions of bilinear Strichartz estimates, we show that the solutions are not only smooth, but also fast decaying.

키워드

CONCENTRATION-COMPACTNESS PRINCIPLESINGLE-MODE FIBERSSTRICHARTZ INEQUALITYSPECTRAL REGIONPULSE DYNAMICSTRANSMISSIONSOLITONSCOMPENSATIONREGULARITYCALCULUS
제목
Decay Estimates and Smoothness for Solutions of the Dispersion Managed Non-linear Schrodinger Equation
저자
Hundertmark, DirkLee, Young-Ran
DOI
10.1007/s00220-008-0612-4
발행일
2009-03
유형
Article
저널명
Communications in Mathematical Physics
286
3
페이지
851 ~ 873