Stability of periodic waves of 1D nonlinear Schrödinger equations
Appears in collection : Summer School 2016: Nonlinear Waves
Motivated by the more general problem of classifying NLS dynamics in the presence of a potential, we consider the case of a (suitably) small, repulsive potential, and for certain nonlinearities, classify solutions near the 'pinned' ground state according to classical trajectories. Joint work with K. Nakanishi.