Generalized Fubini instantons

Details Generalized Fubini instantons Generalized Fubini instantons

2007-09-17

arxiv.org/abs/0709.2546v1

Phys.Lett.A372:4222-4229,2008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/j.physleta.2008.03.032

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.

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