336 citations · 1.2k across the 44 of their papers we have counts for
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nlin.SI2016★ 81 cited
The Stability Spectrum for Elliptic Solutions to the Focusing NLS Equation
Bernard Deconinck, Benjamin L. Segal
We present an analysis of the stability spectrum of all stationary elliptic-type solutions to the focusing Nonlinear Schrödinger equation (NLS). An analytical expression for the sp…
nlin.PS2016★ 16 cited
The interaction of long and short waves in dispersive media
Bernard Deconinck, Nghiem V. Nguyen, Benjamin L. Segal
The KdV equation models the propagation of long waves in dispersive media, while the NLS equation models the dynamics of narrow-bandwidth wave packets consisting of short dispersiv…