5 papers
Dry dam-break over parabolic bathymetry
Shashwat Sharan, Patrick Sprenger, Boaz Ilan +1
Motivated by dry dambreak flows, a perturbative framework for solving the 1D shallow water equations (SWE) over parabolic bathymetry, together with the inviscid Burgers' equation,…
Homoclinic and heteroclinic solutions of the nonlinear Schrödinger equation with a complex Wadati potential
Sathyanarayanan Chandramouli, Patrick Sprenger, Mark A. Hoefer
Stationary solutions asymptoting to nonlinear plane waves of the nonlinear Schrödinger equation with a PT-symmetric, complex linear potential are characterized. The potential incl…
Recovery of directional wave spectrum from sparse data with compressed sensing
Qingyu Jiang, Henrik Kalisch, Michel Benoit +2
Compressed sensing provides an efficient framework for reconstructing wave signals from reduced measurements. For multi-channel buoy data, the three displacement components exhibit…
Heteroclinic connections between finite-amplitude periodic orbits emerging from a codimension two singularity
Thomas J. Bridges, David J. B. Lloyd, Daniel J. Ratliff +1
Heteroclinic connections between two distinct hyperbolic periodic orbits in conservative systems are important in a wide range of applications. On the other hand, it is theoretical…
Breaking a superfluid harmonic dam: Observation and theory of Riemann invariants and accelerating sonic horizons
Shashwat Sharan, Judith Gonzalez Sorribes, Patrick Sprenger +4
An experimental and theoretical study of sonic horizons emerging from the dam-break problem in a Bose-Einstein condensate confined in an anisotropic harmonic trap is presented. Mea…