标题： 一种通用解 显示英文标题

标题： A Universal Solution

摘要： 由一个变分原理可得到的大量二阶偏微分方程的隐函数现象，通过引入从任意权重为一的拉格朗日量导出的方程的一类普遍解来阐明。 该结果扩展到多个场。 施加洛伦兹不变性使这些拉格朗日量唯一，并等价于[baker]中引入的伴随拉格朗日量。 显示英文摘要

摘要： The phenomenon of an implicit function which solves a large set of second order partial differential equations obtainable from a variational principle is explicated by the introduction of a class of universal solutions to the equations derivable from an arbitrary Lagrangian which is homogeneous of weight one in the field derivatives. This result is extended to many fields. The imposition of Lorentz invariance makes such Lagrangians unique, and equivalent to the Companion Lagrangians introduced in [baker].