7 citations · 25 across the 6 of their papers we have counts for
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math.AP2015★ 4 cited
Scattering-like phenomena of the periodic defocusing NLS equation
T. Kappeler, B. Schaad, P. Topalov
In this paper we prove approximation properties of the solutions of the defoucsing NLS equation on the circle by nearly linear flows. In addition we show that spatially periodic so…
math.AP2015★ 1 cited
Semi-linearity of the non-linear Fourier transform of the defocusing NLS equation
T. Kappeler, B. Schaad, P. Topalov
In this paper we prove that the non-linear Fourier transform of the defocusing NLS equation on the circle is linear up to terms which are one order smoother.
math.SP2015★ 6 cited
Asymptotics of spectral quantities of Zakharov-Shabat operators
T. Kappeler, B. Schaad, P. Topalov
In this paper we provide new asymptotic estimates of various spectral quantities of Zakharov-Shabat operators on the circle. These estimates are uniform on bounded subsets of poten…