1 citations · 1 across the 1 of their papers we have counts for
4 papers
Orientation-dependent pinning and homoclinic snaking on a planar lattice
Andrew Dean, Paul Matthews, Stephen Cox +1
We study homoclinic snaking of one-dimensional, localised states on two-dimensional, bistable lattices via the method of exponential asymptotics. Within a narrow region of paramete…
Multiple fluxon analogues and dark solitons in linearly coupled Bose-Einstein condensates
M. I. Qadir, H. Susanto, P. C. Matthews
Two effectively one-dimensional parallel coupled Bose-Einstein condensates in the presence of external potentials are studied. The system is modelled by linearly coupled Gross-Pita…
Fluxon analogues and dark solitons in linearly coupled Bose-Einstein condensates
Muhammad I. Qadir, Hadi Susanto, Paul C. Matthews
Two effectively one-dimensional parallel coupled Bose-Einstein condensates in the presence of external potentials are studied. The system is modelled by linearly coupled Gross-Pita…
Variational approximations to homoclinic snaking
H. Susanto, P. C. Matthews
We investigate the snaking of localised patterns, seen in numerous physical applications, using a variational approximation. This method naturally introduces the exponentially smal…