Classical solutions in the Born-Infeld theory

Yisong Yang

doi:10.1098/rspa.2000.0533

Classical solutions in the Born-Infeld theory

Yisong Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Locally concentrated solutions in the Born-Infeld theory are presented. In particular, existence and uniqueness theorems are established for multicentred magnetic string solutions induced from a Higgs field over a closed Riemann surface or a Euclidean plane. On any given compact surface, the Born-Infeld parameter may be adjusted under a necessary and sufficient condition to allow the existence of an arbitrarily large number of strings.

Original language	English (US)
Pages (from-to)	615-640
Number of pages	26
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	456
Issue number	1995
DOIs	https://doi.org/10.1098/rspa.2000.0533
State	Published - 2000

Keywords

Constrained minimization
Electromagnetic fields
Hodge dual
Nonlinear elliptic equations
Riemann surfaces
Solitons

ASJC Scopus subject areas

General Mathematics
General Engineering
General Physics and Astronomy

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10.1098/rspa.2000.0533

Cite this

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title = "Classical solutions in the Born-Infeld theory",

abstract = "Locally concentrated solutions in the Born-Infeld theory are presented. In particular, existence and uniqueness theorems are established for multicentred magnetic string solutions induced from a Higgs field over a closed Riemann surface or a Euclidean plane. On any given compact surface, the Born-Infeld parameter may be adjusted under a necessary and sufficient condition to allow the existence of an arbitrarily large number of strings.",

keywords = "Constrained minimization, Electromagnetic fields, Hodge dual, Nonlinear elliptic equations, Riemann surfaces, Solitons",

author = "Yisong Yang",

year = "2000",

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AB - Locally concentrated solutions in the Born-Infeld theory are presented. In particular, existence and uniqueness theorems are established for multicentred magnetic string solutions induced from a Higgs field over a closed Riemann surface or a Euclidean plane. On any given compact surface, the Born-Infeld parameter may be adjusted under a necessary and sufficient condition to allow the existence of an arbitrarily large number of strings.

KW - Constrained minimization

KW - Electromagnetic fields

KW - Hodge dual

KW - Nonlinear elliptic equations

KW - Riemann surfaces

KW - Solitons

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M3 - Article

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SN - 1364-5021

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EP - 640

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 1995

ER -

Classical solutions in the Born-Infeld theory

Abstract

Keywords

ASJC Scopus subject areas

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