2 papers
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…
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…