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Advanced Nonlinear Studies

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Volume 8, Issue 2


Solitary Waves in Abelian Gauge Theories

Vieri Benci
  • Dipartimento di Matematica Applicata ‘‘U. Dini’’ Universitá degli Studi di Pisa Via Filippo Buonarroti 1/c, 56126 Pisa, Italy
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Published Online: 2016-03-10 | DOI: https://doi.org/10.1515/ans-2008-0206


Abelian gauge theories consist of a class of field equations which provide a model for the interaction between matter and electromagnetic fields. In this paper we analyze the existence of solitary waves for these theories. We assume that the lower order term W is positive and we prove the existence of solitary waves if the coupling between matter and electromagnetic field is small. We point out that the positiveness assumption on W implies that the energy is positive: this fact makes these theories more suitable to model physical phenomena.

Keywords: Abelian gauge theories; solitary waves; critical points

About the article

Received: 2007-10-04

Published Online: 2016-03-10

Published in Print: 2008-05-01

Citation Information: Advanced Nonlinear Studies, Volume 8, Issue 2, Pages 327–352, ISSN (Online) 2169-0375, ISSN (Print) 1536-1365, DOI: https://doi.org/10.1515/ans-2008-0206.

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