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arXiv · 1710.11362

Asymptotic behavior in time of solution to the nonlinear Schr"odinger equation with higher order anisotropic dispersion

Jean-Claude Saut·Jun-ichi Segata
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Abstract

We consider the asymptotic behavior in time of solutions to the nonlinear Schr"odinger equation with fourth order anisotropic dispersion (4NLS) which describes the propagation of ultrashort laser pulses in a medium with anomalous time-dispersion in the presence of fourth-order time-dispersion. We prove existence of a solution to (4NLS) which scatters to a solution of the linearized equation of (4NLS).

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Jean-Claude Saut, Jun-ichi Segata. 2017-10-31. Asymptotic behavior in time of solution to the nonlinear Schr"odinger equation with higher order anisotropic dispersion. https://arxiv.org/abs/1710.11362

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