标题： 一种通用的解决方案 显示英文标题

标题： A universal solution

摘要： 通过引入一类由任意在场导数上为一次齐次的拉格朗日量所导出方程的普遍解，阐明了由变分原理可得的一组大量二阶偏微分方程具有隐函数解这一现象。 此结果被推广到多个场的情况。 施加洛伦兹不变性使得这类拉格朗日量唯一，并且等价于[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].