RxS ^2上的缀饰椭圆弦解
Dressed Elliptic String Solutions on RxS^2
摘要：
通过对椭圆Pohlmeyer对应的弦解应用修饰方法，我们获得了RxS^2上的经典弦解。这是通过使用尽可能简单的修整因子来实现的，该修整因子仅具有位于单位圆上的一对极点。后者等价于单个Backlund变换对相应sine-Gordon解的作用。得到的修饰椭圆字符串提出了一个有趣的分歧，他们的定性特征在一个特定的值的模的种子解决方案。最后，修饰弦的一个有趣的一般特征，它起源于最简单的修饰因子的形式，而不是来自特定的种子解，是它们可以被认为是由一个恒定半径的震中画出的，其中心在种子解上运行。震中的半径与修整因子极点的位置直接相关。
英文摘要：
We obtain classical string solutions on RxS^2 by applying the dressing method on string solutions with elliptic Pohlmeyer counterparts. This is realized through the use of the simplest possible dressing factor, which possesses just a pair of poles lying on the unit circle. The latter is equivalent to the action of a single Backlund transformation on the corresponding sine-Gordon solutions. The obtained dressed elliptic strings present an interesting bifurcation of their qualitative characteristics at a specific value of a modulus of the seed solutions. Finally, an interesting generic feature of the dressed strings, which originates from the form of the simplest dressing factor and not from the specific seed solution, is the fact that they can be considered as drawn by an epicycle of constant radius whose center is running on the seed solution. The radius of the epicycle is directly related to the location of the poles of the dressing factor.
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