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Decay Estimates and Smoothness for Solutions of the Dispersion Managed Non-linear Schrödinger Equation

✍ Scribed by Dirk Hundertmark; Young-Ran Lee


Publisher
Springer
Year
2008
Tongue
English
Weight
357 KB
Volume
286
Category
Article
ISSN
0010-3616

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Inverse scattering for the non-linear Sc
✍ Ricardo Weder 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 106 KB

## Abstract In this paper we consider the inverse scattering problem for the non‐linear Schrödinger equation on the line \def\dr{{\rm d}}$$i{\partial\over\partial t}u(t,x)=‐{\dr^2\over\dr x^2}u(t,x)+V\_0(x)u(t,x)+\sum\_{j=1}^{\infty}V\_j(x)|u|^{2(j\_0+j)}u(t,x)$$\nopagenumbers\end We prove, unde