𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic behavior of standing wave solutions of nonlinear Schrödinger equations

✍ Scribed by Tatsuo Itoh

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
131 KB
Volume
47
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On standing wave solutions to the Schröd
On standing wave solutions to the Schrödinger equation
✍ D.J Kouri; F.S Levin 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 437 KB

The standing wave solution to the Schriidinger equation defined in terms of the standing wave Green's function for the full Hamiltonian is discussed. This solution is compared with the more usual standing wave solution. The former is shown to be onehalf the sum of the usual ingoing and outgoing wave

On asymptotic stability of solitary wave
On asymptotic stability of solitary waves for nonlinear Schrödinger equations
✍ Vladimir S. Buslaev; Catherine Sulem 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 401 KB

We study the long-time behavior of solutions of the nonlinear Schrödinger equation in one space dimension for initial conditions in a small neighborhood of a stable solitary wave. Under some hypothesis on the structure of the spectrum of the linearized operator, we prove that, asymptotically in time

Exponentially small asymptotics of solut
Exponentially small asymptotics of solutions to the defocusing nonlinear Schrödinger equation
✍ A.H. Vartanian 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 492 KB

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