81 citations · 128 across the 3 of their papers we have counts for
3 papers
The Stability Spectrum for Elliptic Solutions to the Sine-Gordon Equation
Bernard Deconinck, Peter McGill, Benjamin L. Segal
We present an analysis of the stability spectrum for all stationary periodic solutions to the sine-Gordon equation. An analytical expression for the spectrum is given. From this ex…
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…
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…