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Exponentially small adiabatic invariant for the Schrödinger equation

✍ Scribed by A. Joye; Ch-Ed Pfister


Publisher
Springer
Year
1991
Tongue
English
Weight
1017 KB
Volume
140
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES


Exponentially small asymptotics of solut
✍ 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