Simultaneous ideal quantum measurements of multiple single-photon-level signals would advance applications in information processing, metrology, and astronomy, but require the first amplifier to be simultaneously broadband, limited, directional. However, conventional traveling-wave parametric amplifiers support broadband amplification at cost increased added noise are not genuinely directional ...

In this paper, we investigate the instability of one-dimensionally stable periodic traveling wave solutions of the generalized Korteweg-de Vries equation to long wavelength transverse perturbations in the generalized Zakharov-Kuznetsov equation in two space dimensions. By deriving appropriate asymptotic expansions of the periodic Evans function, we derive an index which yields sufficient condit...

In this article, we study the existence and the uniqueness of traveling waves for a discrete reaction-diffusion equation with bistable non-linearity, namely a generalization of the fully overdamped Frenkel-Kontorova model. This model consists in a system of ODE’s which describes the dynamics of crystal defects in a lattice solids. Under very poor assumptions, we prove the existence of a traveli...