95 citations · 247 across the 7 of their papers we have counts for
5 papers · 1 filter
Wobbling kinks in theory
I. V. Barashenkov, O. F. Oxtoby
We present a uniform asymptotic expansion of the wobbling kink to any order in the amplitude of the wobbling mode. The long-range behaviour of the radiation is described by matchin…
Asymptotic expansion of the wobbling kink
O F Oxtoby, I V Barashenkov
The method of multiple scales is used to study the wobbling kink of the equation. The amplitude of the wobbling is shown to decay very slowly, as , and hence the wo…
Moving solitons in the discrete nonlinear Schrödinger equation
O. F. Oxtoby, I. V. Barashenkov
Using the method of asymptotics beyond all orders, we evaluate the amplitude of radiation from a moving small-amplitude soliton in the discrete nonlinear Schrödinger equation. When…
Translationally invariant discrete kinks from one-dimensional maps
I. V. Barashenkov, O. F. Oxtoby, Dmitry E. Pelinovsky
For most discretisations of the theory, the stationary kink can only be centered either on a lattice site or midway between two adjacent sites. We search for exceptional disc…
Travelling kinks in discrete phi^4 models
O. F. Oxtoby, D. E. Pelinovsky, I. V. Barashenkov
In recent years, three exceptional discretizations of the phi^4 theory have been discovered [J.M. Speight and R.S. Ward, Nonlinearity 7, 475 (1994); C.M. Bender and A. Tovbis, J. M…