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The scattering of quantized solitons in the non-linear Schrödinger theory

✍ Scribed by J. Honerkamp; M. Schlindwein; A. Wiesler

Book ID
116142155
Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
582 KB
Volume
121
Category
Article
ISSN
0550-3213

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✍ 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