388 citations · 3.3k across the 78 of their papers we have counts for
7 papers · 1 filter
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…
Bright traveling breathers in media with long-range, nonconvex dispersion
Sathyanarayanan Chandramouli, Yifeng Mao, Mark Hoefer
The existence and properties of envelope solitary waves on a periodic, traveling wave background, called traveling breathers, are investigated numerically in representative nonloca…
Long-time asymptotics and the radiation condition for linear evolution equations on the half-line with time-periodic boundary conditions
Yifeng Mao, Dionyssios Mantzavinos, Mark A. Hoefer
The large time asymptotics for scalar, constant coefficient,linear, third order, dispersive equations are obtained for asymptotically time-periodic Dirichlet boundary data and…
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev-Petviashvili equation
Gino Biondini, Alexander J. Bivolcic, Mark A. Hoefer +1
Two-dimensional reductions of the KP-Whitham system, namely the overdetermined Whitham modulation system for five dependent variables that describe the periodic solutions of the Ka…
Whitham modulation theory for the defocusing nonlinear Schrodinger equation in two and three spatial dimensions
Asela Abeya, Gino Biondini, Mark A. Hoefer
The Whitham modulation equations for the defocusing nonlinear Schrodinger (NLS) equation in two, three and higher spatial dimensions are derived using a two-phase ansatz for the pe…
Observation of Traveling Breathers and Their Scattering in a Two-Fluid System
Yifeng Mao, Sathyanarayanan Chandramouli, Wenqian Xu +1
The observation of traveling breathers (TBs) with large-amplitude oscillatory tails realizes an almost 50-year-old theoretical prediction (Kuznetsov 1975) and generalizes the notio…