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Asymptotic behavior in time of solution to the nonlinear Schr'odinger equation with higher order anisotropic dispersion
- Publication Year :
- 2017
-
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).<br />Comment: 22 pages
- Subjects :
- Mathematics - Analysis of PDEs
35Q55 (Primary), 35B40 (Secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1710.11362
- Document Type :
- Working Paper