1,721,056 research outputs found
Solitary waves in Abelian Gauge Theories
No full textAbelian 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
Hylomorphic solitons and charged Q-balls: Existence and stability
No full textIn this paper we present a general theoretical framework from which several known results
(a some new ones) on the existence and stability of solitons can be recovered.
We give an abstract definition of solitary wave and soliton and we develope an abstract
existence theory. This theory provides a powerful tool to study the existence of solitons for
the Klein–Gordon equations as well as for gauge theories. Applying this theory, we prove
the existence of a continuous family of stable charged Q-balls
Solitons in Schroedinger-Maxwell Equations
No full textIn this paper we study the Nonlinear Schrödinger-Maxwell equations
(NSM). We are interested to analyse the existence of solitons, namely of
nite energy solutions which exhibit stability properties. This paper is
divided in two parts. In the rst, we give an abstract denition of soliton
and we develope an abstract existence theory. In the second, we apply
this theory to NSM
On the existence of stable charged Q-balls
No full textThis paper concerns hylomorphic solitons, namely, stable, solitary waves whose
existence is related to the ratio energy/charge. In theoretical physics, the name Q-ball
refers to a type of hylomorphic solitons or solitary waves relative to the nonlinear
Klein-Gordon equation.We are interested in the existence of charged Q-balls, namely,
Q-balls for the nonlinear Klein-Gordon equation coupled with theMaxwell equations.
In this case, the charge reduces to the electric charge. The main result of this paper
establishes that stable, charged Q-balls exist provided that the interaction between the
matter and the gauge field is sufficiently small
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