@misc{10498/33280,
year = {2019},
url = {http://hdl.handle.net/10498/33280},
abstract = {A wide class of nonlinear dispersive wave equations are shown to
possess a novel type of peakon solution in which the amplitude and speed
of the peakon are time-dependent. These novel dynamical peakons exhibit a
wide variety of di erent behaviours for their amplitude, speed, and accelera-
tion, including an oscillatory amplitude and constant speed which describes a
peakon breather. Examples are presented of families of nonlinear dispersive
wave equations that illustrate various interesting behaviours, such as asymp-
totic travelling-wave peakons, dissipating/anti-dissipating peakons, direction-
reversing peakons, runaway and blow up peakons, among others.},
keywords = {Nonlinear dispersive wave equation},
keywords = {peaked wave},
keywords = {peakon},
keywords = {dynamical peakon system},
title = {Accelerating dynamical peakons and their behaviour},
doi = {10.3934/dcds.2019267},
author = {Anco, Stephen C. and Recio Rodríguez, Elena},
}