@article{def2c374c6814d149d70dcaca27672fb,
title = "Asymptotic behavior in time of solution to the nonlinear Schr{\"o}dinger equation with higher order anisotropic dispersion",
abstract = "We consider the asymptotic behavior in time of solutions to the nonlinear Schr{\"o}dinger 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) as t → ∞.",
author = "Saut, {Jean Claude} and Segata, {Jun Ichi}",
note = "Funding Information: Acknowledgments. We thank the referee for careful reading of the manuscript and for fruitful suggestions. The part of this work was done while J.S was visiting at Department of Mathematics at Universit{\'e}de Paris-Sud, Orsay whose hospitality they gratefully acknowledge. J.S. is partially supported by JSPS, Strategic Young Researcher Overseas Visits Program for Accelerating Brain Circulation, Grant-in-Aid for Young Scientists (A) 25707004, and Grant-in-Aid for Scientific Research (B) 17H02851. Publisher Copyright: {\textcopyright} Copyright 2018 American Institute of Mathematical Sciences.",
year = "2019",
month = jan,
doi = "10.3934/dcds.2019009",
language = "English",
volume = "39",
pages = "219--239",
journal = "Discrete and Continuous Dynamical Systems",
issn = "1078-0947",
publisher = "Southwest Missouri State University",
number = "1",
}