57 citations · 169 across the 6 of their papers we have counts for
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nlin.PS2001★ 15 cited
The Zakharov-Shabat spectral problem on the semi-line: Hilbert formulation and applications
J. Leon, A. Spire
The inverse spectral transform for the Zakharov-Shabat equation on the semi-line is reconsidered as a Hilbert problem. The boundary data induce an essential singularity at large k…
nlin.PS2001★ 43 cited
Nonlinear energy transmission in the gap
J-G. Caputo, J. Leon, A. Spire
Numerical simulations of the scattering of a linear plane wave incoming onto a nonlinear medium (sine-Gordon) reveals that: i) nonlinearity allows energy transmission in the forbid…
nlin.SI2001★ 26 cited
An integrable discretization of KdV at large times
M Boiti, F Pempinelli, B Prinari +1
An "exact discretization" of the Schroedinger operator is considered and its direct and inverse scattering problems are solved. It is shown that a differential-difference nonlinear…