Solitary waves of the nonlinear Klein-Gordon equation coupled with the Maxwell equations

被引:379
|
作者
Benci, V
Fortunato, D
机构
[1] Univ Pisa, Dipartimento Matemat Applicata, I-50126 Pisa, Italy
[2] Univ Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy
关键词
D O I
10.1142/S0129055X02001168
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper is divided in two parts. In the first part we construct a model which describes solitary waves of the nonlinear Klein-Gordon equation interacting with the electromagnetic field. In the second part we study the electrostatic case. We prove the existence of infinitely many pairs (psi, E), where psi is a solitaxy wave for the nonlinear Klein-Gordon equation and E is the electric field related to psi.
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页码:409 / 420
页数:12
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