Azadeh Mohammadi (Federal University of Pernambuco (UFPE), Brazil) – Energy transfer mechanisms in non-integrable solitons' interactions

Notes: Special external MaPLe seminar. Unusual day, time, and room.

This talk explores non-integrable solitons in 1+1 dimensions, focusing on kink-antikink interactions and their rich, often chaotic dynamics. Depending on the initial velocity, collisions may lead to annihilation, with or without formation of a long-lived oscillatory bound state (a bion or an oscillon), or inelastic scattering accompanied by radiation. Most intriguingly, in an intermediate velocity regime, the outcome alternates between annihilation and escape, producing resonance windows. These arise when the colliding pair temporarily stores kinetic energy in internal vibrational modes and later releases it, allowing the kinks to escape. I will discuss several mechanisms that enable this energy exchange, including the role of fermionic fields and quasinormal modes of the kink-antikink system.