理想流体的Jacobs-Rebbi方程的精确涡解
Exact vortex solution of the Jacobs-Rebbi equation for ideal fluids
摘要：
Jacobs-Rebbi方程在研究二维理想介质中的涡旋运动的许多情况下都会出现。或者，它可以从阿贝尔希格斯场论中导出。它被认为是不可积的，数值解已经找到，包括本地化，强大的旋涡。在这项工作中，我们证明了方程是可积的，并提供了拉克斯对。用Riemann \emph{theta}函数得到了精确解。
英文摘要：
The Jacobs-Rebbi equation arises in many contexts where vortical motion in two-dimensional ideal media is investigated. Alternatively, it can be derived in the Abelian Higgs field theory. It is considered non-integrable and numerical solutions have been found, consisting of localised, robust vortices. We show in this work that the equation is integrable and provide the Lax pair. The exact solution is obtained in terms of Riemann \emph{theta} functions.
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