We present several one-parameter families of higher-order field theory models some of which admit explicit kink solutions with an exponential tail while others admit explicit kink solutions with a power-law tail. Various properties of these families of kink solutions are examined in detail. Further, by applying the recent Manton formalism, we provide estimates for the kink–kink (KK) and antikink–kink (AK-K) acceleration and hence the ratio of the corresponding AK-K and KK forces.

中文翻译：

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几个高阶场论模型的单参数族中的显式扭结解

我们提出了几个高阶场论模型的单参数族，其中一些承认具有指数尾的显式扭结解，而另一些承认具有幂律尾的显式扭结解。详细检查了这些扭结解决方案系列的各种属性。此外，通过应用最近的 Manton 形式，我们提供了扭结 (KK) 和反扭结 (AK-K) 加速度的估计值，从而提供了相应的 AK-K 和 KK 力的比率。