标题： 广义Fubini瞬子 显示英文标题

标题： Generalized Fubini instantons

摘要： 我们证明了带有负耦合的$(1+2)$非线性克莱因-戈登方程存在一个精确解，该解实际上是平面波和非奇异有理孤子的线性叠加。 我们证明了同样的方法可以用来构造具有类似性质的欧几里得$\phi^4$模型的解，该模型具有对称性破缺。 有趣的是，这种规则解仅在$D\le 5$欧几里得空间中为瞬子类型。 显示英文摘要

摘要： We show that $(1+2)$ nonlinear Klein-Gordon equation with negative coupling admits an exact solution which appears to be the linear superposition of the plane wave and the nonsingular rational soliton. We show that the same approach allows to construct the solution of similar properties for the Euclidean $\phi^4$ model with broken symmetry. Interestingly, this regular solution will be of instanton type only in the $D\le 5$ Euclidean space.