Abstract
We consider the asymptotic behavior in time of solutions to the nonlinear Schrödinger 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 → ∞.
| Original language | English |
|---|---|
| Pages (from-to) | 219-239 |
| Number of pages | 21 |
| Journal | Discrete and Continuous Dynamical Systems- Series A |
| Volume | 39 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 1 2019 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Cite this
Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion. / Saut, Jean Claude; Segata, Junichi.
In: Discrete and Continuous Dynamical Systems- Series A, Vol. 39, No. 1, 01.01.2019, p. 219-239.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion
AU - Saut, Jean Claude
AU - Segata, Junichi
PY - 2019/1/1
Y1 - 2019/1/1
N2 - We consider the asymptotic behavior in time of solutions to the nonlinear Schrödinger 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 → ∞.
AB - We consider the asymptotic behavior in time of solutions to the nonlinear Schrödinger 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 → ∞.
UR - http://www.scopus.com/inward/record.url?scp=85056112672&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85056112672&partnerID=8YFLogxK
U2 - 10.3934/dcds.2019009
DO - 10.3934/dcds.2019009
M3 - Article
VL - 39
SP - 219
EP - 239
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
SN - 1078-0947
IS - 1
ER -