3 papers
nlin.PS2008
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…
nlin.PS2005
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…
nlin.PS2005
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…