一种新的变形函数产生或破坏任意数目的偶扭结解
Novel Deformation Function Creating or Destroying any Number of Even Kink Solutions
摘要：
本文提出了一个单参数的变形函数族$f(ϕ)$，它具有新的性质。首先，变形函数是其自身的逆。我们证明了一类势在这种变形下保持不变。此外，当应用到某类扭轴承潜力，一个得到的潜力是没有从下面的限制。此外，我们还证明了存在一类具有幂律扭尾的势函数，它们通过这种变形连接在一起，但这两种势函数的扭尾具有不同的渐近行为.最后，我们表明，当这个变形函数被施加到一个适当的单参数家庭的潜力有两个扭结解决方案，它创建新的潜力与任意偶数（$2n$）的扭结解决方案。相反，从这个势开始，用$2n$扭结解，形变函数消除了$2n-2$扭结，我们得到了我们开始时只有两个扭结解的势。
英文摘要：
We present a one-parameter family of deformation functions $f(ϕ)$ which have novel properties. Firstly, the deformation function is its own inverse. We show that a class of potentials remains invariant under this deformation. Further, when applied to a certain class of kink bearing potentials, one obtains potentials which are not bounded from below. Besides, we show that there is a wide class of potentials having power law kink tails which are connected by this deformation but the corresponding kink tails of the two potentials have different asymptotic behavior. Finally, we show that when this deformation function is applied to an appropriate one-parameter family of potentials having two kink solutions, it creates new potentials with an arbitrary even number ($2n$) of kink solutions. Conversely, by starting from this potential with $2n$ kink solutions the deformation function annihilates $2n-2$ kinks and we get back the potential which we started with having only two kink solutions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
