Soliton dynamics in the Ostrovsky equation with anomalous dispersion

This study investigates the formation and inelastic interactions of solitons in the non-integrable Ostrovsky equation with anomalous dispersion, revealing that these waves can organize into regular or irregular trains and that, in closed systems, a dominant "soliton-champion" emerges by annihilating smaller solitons while exhibiting a recurrence phenomenon distinct from the Korteweg-de Vries equation.

R. Fariello, M. S. Soares, Y. A. Stepanyants2026-03-06🔬 physics

Scattering of kinks in Frankensteinian potentials: Kinks as bubbles of exotic mass and phase transitions in oscillon production

This paper investigates kink-anti-kink scattering in piece-wise quadratic-linear "Frankensteinian" potentials, proposing an interpretation of these models as free massive theories with threshold-driven pair production and demonstrating a phase-transition-like shift from wave disintegration to oscillon formation based on field thresholds and initial velocities.

Lukáš Rafaj, Ondřej Nicolas Karpíšek, Filip Blaschke2026-03-05🔬 physics