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Asymptotic behavior of solutions of defocusing integrable discrete nonlinear Schrödinger equation

✍ Scribed by Hideshi Yamane


Book ID
120811917
Publisher
Higher Education Press and Springer
Year
2013
Tongue
English
Weight
119 KB
Volume
8
Category
Article
ISSN
1673-3452

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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