336 citations · 1.2k across the 44 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
nlin.SI2019
Real Lax spectrum implies spectral stability
Jeremy Upsal, Bernard Deconinck
We consider the dynamical stability of periodic solutions of integrable equations with 2x2 Lax pairs. We construct the eigenfunctions and hence the Floquet discriminant for such La…
math.AP2019
Direct Characterization of Spectral Stability of Small Amplitude Periodic Waves in Scalar Hamiltonian Problems Via Dispersion Relation
Richard Kollár, Bernard Deconinck, Olga Trichtchenko
Various approaches to studying the stability of solutions of nonlinear PDEs lead to explicit formulae determining the stability or instability of the wave for a wide range of class…
nlin.SI2019
The orbital stability of elliptic solutions of the Focusing Nonlinear Schrödinger Equation
Bernard Deconinck, Jeremy Upsal
We examine the stability of the elliptic solutions of the focusing nonlinear Schrödinger equation (NLS) with respect to subharmonic perturbations. Using the integrability of NLS, w…