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 2019 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics