Geodesic
Example of a self-localizing nonlinear relativistic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 100-104 Cet article a éte moissonné depuis la source Math-Net.Ru

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The real scalar relativistic field with self-interaction $(\lambda/4)\psi^4$ in the Lagrangian is studied. An exact solution is obtained for the one- and three-dimensional cases. It is shown that in the one-dimensional case the field is localized in a certain region whose size varies in accordance with a Lorentz transformation. The energy and momentum of the field are inversely proportional to the coupling constant, and they are related by the same relativistic equation as for a particle with a certain internal energy. In the three-dimensional case the field is localized only in one dimension. 
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     title = {Example of a self-localizing nonlinear relativistic field},
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A. S. Davydov; N. I. Kislukha. Example of a self-localizing nonlinear relativistic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 1, pp. 100-104. http://geodesic.mathdoc.fr/item/TMF_1973_16_1_a10/

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