广义MSTB模型：结构和扭结簇
Generalized MSTB Models: Structure and kink varieties
摘要：
本文描述了（1+1）Minkowski时空中一类二分量标量场模型的结构，它推广了著名的Montonen-Sarker-Trullinger-Bishop -thus MSTB-模型.这一类包括所有的场模型，其静态场方程等价于具有离散不稳定点集的二维I型刘维尔力学系统的牛顿方程。我们提供了一个系统的程序来描述这些模型，并确定孤立波或扭结的解决方案，同宿或异宿轨迹在类似的机械系统。这个过程被应用到一个单参数的家庭广义MSTB模型与八度多项式的势能密度。
英文摘要：
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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