Born-Infeld孤子、极大曲面和Ramanujan恒等式
Born-Infeld solitons, Maximal surfaces and Ramanujan's identities
摘要：
我们证明了Born-Infeld孤子在远离奇点的情况下既可以是类空极小图也可以是类时平面上的类空极小图，或者是两者的组合。我们还获得了一些精确解的Born-Infeld方程从已知的最大曲面方程的解决方案。进一步，我们提出了一种方法，从一个给定的单参数族的极大曲面构造一个单参数族的复孤子。最后，利用Ramanujan恒等式和极大曲面的Weierstrass-Enneper表示，我们得到了进一步的非平凡恒等式。
英文摘要：
We show that a Born-Infeld soliton can be realised either as a spacelike minimal graph or timelike minimal graph over a timelike plane or a combination of both away from singular points. We also obtain some exact solutions of the Born-Infeld equation from already known solutions to the maximal surface equation. Further we present a method to construct a one-parameter family of complex solitons from a given one parameter family of maximal surfaces. Finally, using Ramanujan's Identities and the Weierstrass-Enneper representation of maximal surfaces, we derive further non-trivial identities.
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。
