RT journal article
T1 Accelerating dynamical peakons and their behaviour
A1 Anco, Stephen C.
A1 Recio Rodríguez, Elena
A2 Matemáticas
K1 Nonlinear dispersive wave equation
K1 peaked wave
K1 peakon
K1 dynamical peakon system
AB A wide class of nonlinear dispersive wave equations are shown topossess a novel type of peakon solution in which the amplitude and speedof the peakon are time-dependent. These novel dynamical peakons exhibit awide variety of di erent behaviours for their amplitude, speed, and accelera-tion, including an oscillatory amplitude and constant speed which describes apeakon breather. Examples are presented of families of nonlinear dispersivewave 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.
SN 1553-5231
YR 2019
FD 2019
LK http://hdl.handle.net/10498/33280
UL http://hdl.handle.net/10498/33280
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026