Nonlinear Klein-Gordon Equations Coupled with Born-Infeld Type Equations
Date
2002-03-04
Authors
d'Avenia, Pietro
Pisani, Lorenzo
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this paper we prove the existence of infinitely many radially symmetric standing waves in equilibrium with their own electro-magnetic field. The interaction is described by means of the minimal coupling rule; on the other hand the Lagrangian density for the electro-magnetic field is the second order approximation of the Born-Infeld Lagrangian density.
Description
Keywords
Nonlinear Klein-Gordon equation, Solitary waves, Electromagnetic field, Variational methods
Citation
d'Avenia, P., & Pisani, L. (2002). Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations. <i>Electronic Journal of Differential Equations, 2002</i>(26), pp. 1-13.
Rights
Attribution 4.0 International