Generalized MSTB Models: Structure and kink varieties

Abstract

In this paper we describe the structure of a class of two-component scalar field models in a (1+1) Minkowskian space-time which generalize the well-known Montonen-Sarker-Trullinger-Bishop -hence MSTB- model. This class includes all the field models whose static field equations are equivalent to the Newton equations of two-dimensional type I Liouville mechanical systems with a discrete set of instability points. We offer a systematic procedure to characterize these models and to identify the solitary wave or kink solutions as homoclinic or heteroclinic trajectories in the analogous mechanical system. This procedure is applied to a one-parametric family of generalized MSTB models with a degree-eight polynomial as potential energy density.

46 pages, 18 figures, corrected typos

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• Kink dynamics in the MSTB Model
• Asymmetric kink scattering in a two-component scalar field theory model
• New models for two real scalar fields and their kinklike solutions
• BPS and non-BPS kinks in a massive non-linear S^2-sigma model
• Wobbling kinks in a two-component scalar field theory: Interaction between shape modes
• Domain walls in a non-linear ${\mathbb{S}}^2$-sigma model with homogeneous quartic polynomial potential
• Solitary Waves in Massive Nonlinear S^N-Sigma Models
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials
• Solitons in a class of interacting scalar field theories without $SO(2)$ invariance
• Scattering between orthogonally wobbling kinks