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arXiv · 0802.0153

Generalized MSTB Models: Structure and kink varieties

A. Alonso-Izquierdo·J. Mateos Guilarte
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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.

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A. Alonso-Izquierdo, J. Mateos Guilarte. 2008-02-01. Generalized MSTB Models: Structure and kink varieties. https://doi.org/10.1016/j.physd.2008.07.020

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