83 citations · 592 across the 50 of their papers we have counts for
4 papers · 1 filter
Extreme events in near integrable lattices
C. Hoffmann, E. G. Charalampidis, D. J. Frantzeskakis +1
In the present work, we examine the potential robustness of extreme wave events associated with large amplitude fluctuations of the Peregrine soliton type, upon departure from the…
Discrete BPS Skyrmions
M. Agaoglou, E. G. Charalampidis, T. A. Ioannidou +1
A discrete analogue of the extended Bogomolny-Prasad-Sommerfeld (BPS) Skyrme model that admits time-dependent solutions is presented. Using the spacing h of adjacent lattice nodes…
Revisiting Diffusion: Self-similar Solutions and the Decay in Initial and Initial-Boundary Value Problems
P. G. Kevrekidis, M. O. Williams, D. Mantzavinos +3
The diffusion equation is a universal and standard textbook model for partial differential equations (PDEs). In this work, we revisit its solutions, seeking, in particular, self-si…
Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with Deflated continuation
E. G. Charalampidis, P. G. Kevrekidis, P. E. Farrell
In this work we employ a recently proposed bifurcation analysis technique, the deflated continuation algorithm, to compute steady-state solitary waveforms in a one-component, two d…