Internal-Mode-Induced Resonances in Soliton-Impurity Interactions

Abstract

Sotiton-impurity interactions in the systems where the topological solitons (kinks) possess internal oscillatory modes are studied analytically and numerically. Taking the well-known φ⁴ model as a particular but rather general example, we demonstrate that the kink can resonantly pass two (or more) localized impurities due to excitation and deexcitation of its internal mode.