3 papers
nlin.SI2026
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…
nlin.PS2025
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…
nlin.PS2024
Particle and wave dynamics of nonlocal solitons in external potentials
G. N. Koutsokostas, I. Moseley, T. P. Horikis +1
We study nonlocal bright solitons subject to external spatially nonuniform potentials. If the potential is slowly varying on the soliton scale, we derive analytical soliton solutio…