73 citations · 491 across the 32 of their papers we have counts for
Showing nlin.SIShow all
3 papers · 1 filter
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.SI2020
Integrable reduction and solitons of the Fokas-Lenells equation
Theodoros P. Horikis
Novel soliton structures are constructed for the Fokas-Lenells equation. In so doing, and after discussing the stability of continuous waves, a multiple scales perturbation theory…
nlin.SI2009★ 5 cited
The short pulse equation and associated constraints
Theodoros P. Horikis
The short pulse equation (SPE) is considered as an initial-boundary value problem. It is found that the solutions of the SPE must satisfy an integral relation otherwise the tempora…