Lorentz-invariant two-dimensional equations that have long-lived (t ∼ 1000) localized solutions without energy losses to radiation in the case of two scalar fields are presented. The existence of long-lived localized solutions with a nontrivial internal structure in the case of three scalar fields is shown. This structure includes two spatially separated coupled maxima of squares of the amplitudes of these fields. Such solutions can be interesting as soliton models of the structure of hadrons.

中文翻译：

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具有非平凡结构且具有长寿命局部化解的Lorentz不变二维方程

洛伦兹不变二维方程已长寿命（吨〜1000）没有能量损失的辐射在两个标量场的情况下局部解决方案被呈现。在三个标量场的情况下，显示了具有非平凡内部结构的长寿命局部解的存在。该结构包括这些场的振幅的平方的两个空间分离的耦合最大值。这种解决方案作为强子结构的孤子模型可能会很有趣。