3 papers
nlin.PS2020
Soliton gas in bidirectional dispersive hydrodynamics
Thibault Congy, Gennady El, Giacomo Roberti
The theory of soliton gas had been previously developed for unidirectional integrable dispersive hydrodynamics in which the soliton gas properties are determined by the overtaking…
nlin.PS2018
Interaction of linear modulated waves and unsteady dispersive hydrodynamic states with application to shallow water waves
T. Congy, G. A. El, M. A. Hoefer
A new type of wave-mean flow interaction is identified and studied in which a small-amplitude, linear, dispersive modulated wave propagates through an evolving, nonlinear, large-sc…
nlin.PS2018
Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure
T. Congy, G. A. El, M. A. Hoefer +1
The nonlinear Schrödinger (NLS) equation and the Whitham modulation equations both describe slowly varying, locally periodic nonlinear wavetrains, albeit in differing amplitude-fre…