Solitary waves in Abelian Gauge Theories

Details Solitary waves in Abelian Gauge Theories Solitary waves in Abelian Gauge Theories

2007-11-21

arxiv.org/abs/0711.3356v1

Mathematics

Analysis of PDEs

27 pages

Scientific paper

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.

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