Generalized MSTB models: Structure and kink varieties |
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Authors: | A. Alonso Izquierdo J. Mateos Guilarte |
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Affiliation: | a Departamento de Matematica Aplicada and IUFFyM, Universidad de Salamanca, Spain b Departamento de Fisica Fundamental and IUFFyM, Universidad de Salamanca, Spain |
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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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Keywords: | Kinks Solitary waves Liouville mechanical systems MSTB scalar field model |
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