279 citations · 441 across the 12 of their papers we have counts for
Showing 1997Show all
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solv-int1997★ 25 cited
A Riemann-Hilbert Problem for an Energy Dependent Schrödinger Operator
David H. Sattinger, Jacek Szmigielski
\We consider an inverse scattering problem for Schrödinger operators with energy dependent potentials. The inverse problem is formulated as a Riemann-Hilbert problem on a Riemann s…
math.AP1997
Action-Angle variables for the Gel'fand-Dikii flows
Richard Beals, D. H. Sattinger
Using the scattering transform for order linear scalar operators, the Poisson bracket found by Gel'fand and Dikii, which generalizes the Gardner Poisson bracket for the Kd…
math.AP1997★ 38 cited
Complete Integrability of Completely Integrable Systems
R. Beals, D. H. Sattinger
The question of complete integrability of evolution equations associated to first order isospectral operators is investigated using the inverse scattering method. It is…