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arXiv · 0711.3356

Solitary waves in Abelian Gauge Theories

Vieri Benci·Donato Fortunato
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Abstract

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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Vieri Benci, Donato Fortunato. 2007-11-21. Solitary waves in Abelian Gauge Theories. https://arxiv.org/abs/0711.3356

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