Wobbling kinks and shape mode interactions in a coupled two-component ${\varphi }^4$ theory

A. Alonso-Izquierdo, D. Miguélez-Caballero, L. M. Nieto

The dynamics of a wobbling kink in a two-component coupled ${\varphi }^4$ scalar field theory (with an excited orthogonal shape mode) is addressed. For this purpose, the vibration spectrum…