Adiabatic invariants and asymptotic behavior of Lyapunov exponents of the Schrödinger equation
✍ Scribed by François Delyon; Patrick Foulon
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 283 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0022-4715
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper we consider the nonlinear Schr6dinger equation with an oscillatory, mean-zero dispersion, which has recently been proposed as an alternative method of dispersion compensation for pulse transmission in optical fibers. Under the assumption that the time scale on which the dispersion chan
The matrix Riemann-Hilbert factorization approach is used to derive the leading-order, exponentially small asymptotics as t --\* +oo such that x/t ~ O(1) of solutions to the Cauchy problem for the defocusing nonlinear Schr6dinger equation, iOtu + 02xu -2([ul 2 -1)u = 0, with finite density initial d