52 citations · 164 across the 14 of their papers we have counts for
14 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,…
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…
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 inclu…
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…
Hydrodynamics of a Discrete Conservation Law
Patrick Sprenger, Christopher Chong, Emmanuel Okyere +3
The Riemann problem for the discrete conservation law is classified using Whitham modulation theory, a quasi-continuum approximation, and…
Whitham modulation theory and two-phase instabilities for generalized nonlinear Schrödinger equations with full dispersion
Patrick Sprenger, Mark A. Hoefer, Boaz Ilan
The generalized nonlinear Schrödinger equation with full dispersion (FDNLS) is considered in the semiclassical regime. The Whitham modulation equations are obtained for the FDNLS e…
The Kawahara Equation: Traveling Wave Solutions Joining Periodic Waves
Patrick Sprenger, Thomas J. Bridges, Michael Shearer
The Kawahara equation is a weakly nonlinear long-wave model of dispersive waves that emerges when leading order dispersive effects are in balance with the next order correction. Tr…
Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability
Adam L. Binswanger, Mark A. Hoefer, Boaz Ilan +1
The Whitham equation was proposed as a model for surface water waves that combines the quadratic flux nonlinearity of the Korteweg-de Vries equation and th…
Discontinuous shock solutions of the Whitham modulation equations as dispersionless limits of traveling waves
Patrick Sprenger, Mark A. Hoefer
Whitham modulation theory describes the zero dispersion limit of nonlinear waves by a system of conservation laws for the parameters of modulated periodic traveling waves. Here, ad…
Magnonic Band Structure Established by Chiral Spin-Density Waves in Thin Film Ferromagnets
Patrick Sprenger, Mark A. Hoefer, Ezio Iacocca
Recent theoretical studies have demonstrated the possibility to excite and sustain noncollinear magnetization states in ferromagnetic nanowires. The resulting state is referred to…
Hydrodynamic Optical Soliton Tunneling
P. Sprenger, M. A. Hoefer, G. A. El
A conceptually new notion of hydrodynamic optical soliton tunneling is introduced in which a dark soliton is incident upon an evolving, broad potential barrier that arises from an…
Observation of Self-Cavitating Envelope Dispersive Shock Waves in Yttrium Iron Garnet Thin Films
P. A. Praveen Janantha, Patrick Sprenger, Mark A. Hoefer +1
The formation and properties of envelope dispersive shock wave (DSW) excitations from repulsive nonlinear waves in a magnetic film are studied. Experiments involve the excitation o…
Shock waves in dispersive hydrodynamics with non-convex dispersion
Patrick Sprenger, Mark A. Hoefer
Dissipationless hydrodynamics regularized by dispersion describe a number of physical media including water waves, nonlinear optics, and Bose-Einstein condensates. As in the classi…