36 citations · 102 across the 15 of their papers we have counts for
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math.DS2020★ 3 cited
The Stability of the -family of Peakon Equations
Efstathios G. Charalampidis, Ross Parker, Panayotis G. Kevrekidis +1
In the present work we revisit the -family model of peakon equations, containing as special cases the (Camassa-Holm) and (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…
nlin.PS2020★ 36 cited
Multi-pulse solitary waves in a fourth-order nonlinear Schrödinger equation
Ross Parker, Alejandro Aceves
In the present work, we consider the existence and spectral stability of multi-pulse solitary wave solutions to a nonlinear Schrödinger equation with both fourth and second order d…