Abstract This Special Issue on Dispersive Hydrodynamics is dedicated to the memory and
work of GB Whitham who was one of the pioneers in this field of physical applied …

Generalised hydrodynamics (GHD) is a recent and powerful framework to study many-body
integrable systems, quantum or classical, out of equilibrium. It has been applied to several …

The genus-1 Kadomtsev–Petviashvili (KP)-Whitham system is derived for both variants of
the KP equation; namely the KPI and KPII equations. The basic properties of the KP …

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 …

The nonlinear Schrödinger (NLS) equation and the Whitham modulation equations both
describe slowly varying, locally periodic nonlinear wavetrains, albeit in differing amplitude …

A detailed numerical study of the long time behaviour of dispersive shock waves in solutions
to the Kadomtsev–Petviashvili (KP) I equation is presented. It is shown that modulated lump …

This paper aims to relate the energy dissipated at a shock wave in a nonlinearly elastic bar
to the energy in the oscillations in two related dissipationless, dispersive systems. Three …

The dispersionless Whitham modulation equations in one space dimension and time are
generically hyperbolic or elliptic and break down at the transition, which is a curve in the …

In recent years, a connection between conservation law singularity, or more generally zero
characteristics arising within the linear Whitham equations, and the emergence of reduced …

Multiphase wavetrains are multiperiodic travelling waves with a set of distinct wavenumbers
and distinct frequencies. In conservative systems, such families are associated with the …