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.PS2026
Anisotropic Cylindrical Waves in a Square Lattice of Acoustic Waveguides
Ioannis Ioannou Sougleridis, Olivier Richoux, Vassos Achilleos +2
We investigate the propagation of cylindrical waves in a square network of acoustic waveguides. We establish, both theoretically and experimentally, the anisotropic dispersion rela…
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…