82 citations · 82 across the 5 of their papers we have counts for
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,…
Whitham modulation equations for the regularized Boussinesq equation with cubic nonlinearity
Mark A. Hoefer, Anna Vainchtein
A regularized Boussinesq equation is studied as a dispersive, long-wave (quasicontinuum) approximation of the Fermi-Pasta-Ulam lattice with a general cubic interaction force. Expli…
Modulation theory for lumps and interactions between lumps and a mean field in the Kadomtsev-Petviashvili equation
Gino Biondini, Sergey Dyachenko, Mark A. Hoefer +1
A (2+1)-dimensional hyperbolic system of four quasi-linear partial differential equations is derived that describes the modulations of lump solutions of the Kadomtsev-Petviashvili…
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…
Theory of Magnetodynamics Induced by Spin Torque in Perpendicularly Magnetized Thin Films
M. A. Hoefer, M. J. Ablowitz, B. Ilan +2
A nonlinear model of spin wave excitation using a point contact in a thin ferromagnetic film is introduced. Large-amplitude magnetic solitary waves are computed, which help explain…