Ross Parker

activity

20192023

most citedMulti-pulse solitary waves in a fourth-order nonlinear Schrödinger equation

36 citations · 102 across the 15 of their papers we have counts for

collaborators

Showing 2020 · math.DSShow all

2 papers · 2 filters

math.DS2020★ 3 cited

The Stability of the $b$ -family of Peakon Equations

Efstathios G. Charalampidis, Ross Parker, Panayotis G. Kevrekidis +1

In the present work we revisit the $b$ -family model of peakon equations, containing as special cases the $b = 2$ (Camassa-Holm) and $b = 3$ (Degasperis-Procesi) integrable examples. We…

math.DS2020★ 6 cited

Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry

Ross Parker, Björn Sandstede

We consider the existence and spectral stability of periodic multi-pulse solutions in Hamiltonian systems which are translation invariant and reversible, for which the fifth-order…

The Stability of the b-family of Peakon Equations

Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry

The Stability of the $b$ -family of Peakon Equations