73 citations · 491 across the 32 of their papers we have counts for
35 papers
Perturbation theory for kinks of the defocusing modified Korteweg-de Vries equation
Nicholas J. Ossi, Barbara Prinari, Theodoros P. Horikis +1
In this work we develop an integrable perturbation theory for the defocusing modified Korteweg-de Vries kink solution based on the squared eigenfunction expansion associated with t…
On shallow water non-convex dispersive hydrodynamics: the extended KdV model
Saleh Baqer, Theodoros P. Horikis, Dimitrios J. Frantzeskakis
In this work, we investigate non-classical wavetrain formations, and particularly dispersive shock waves (DSWs), or undular bores, in systems exhibiting non-convex dispersion. Our…
Solitons, dispersive shock waves and Noel Fredrick Smyth
Saleh Baqer, Tim Marchant, Gaetano Assanto +2
Noel Frederick Smyth (NFS), a Fellow of the Australian Mathematical Society and a Professor of Nonlinear Waves in the School of Mathematics at the University of Edinburgh, passed a…
Nonlinear instability and solitons in a self-gravitating fluid
G. N. Koutsokostas, S. Sypsas, O. Evnin +2
We study a spherical, self-gravitating fluid model, which finds applications in cosmic structure formation. We argue that since the system features nonlinearity and gravity-induced…
Extended shallow water wave equations
Theodoros P. Horikis, Dimitrios J. Frantzeskakis, Noel F. Smyth
Extended shallow water wave equations are derived, using the method of asymptotic expansions, from the Euler (or water wave) equations. These extended models are valid one order be…
Nematic dispersive shock waves from nonlocal to local
Saleh Baqer, Dimitrios J. Frantzeskakis, Theodoros Horikis +3
The structure of optical dispersive shock waves in nematic liquid crystals is investigated as the power of the optical beam is varied, with six regimes identified, which complement…