Approximated solutions to Born-Infeld dynamics
The Born-Infeld equation in the plane is usefully captured in complex language. The general exact solution can be written as a combination of holomorphic and anti-holomorphic functions. However, this solution only expresses the potential in an implicit way. We rework the formulation to obtain the co...
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2016_n2_p1_Ferraro http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n2_p1_Ferraro |
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paper:paper_11266708_v2016_n2_p1_Ferraro2023-06-08T16:08:44Z Approximated solutions to Born-Infeld dynamics Ferraro, Rafael Integrable Equations in Physics Integrable Field Theories The Born-Infeld equation in the plane is usefully captured in complex language. The general exact solution can be written as a combination of holomorphic and anti-holomorphic functions. However, this solution only expresses the potential in an implicit way. We rework the formulation to obtain the complex potential in an explicit way, by means of a perturbative procedure. We take care of the secular behavior common to this kind of approach, by resorting to a symmetry the equation has at the considered order of approximation. We apply the method to build approximated solutions to Born-Infeld electrodynamics. We solve for BI electromagnetic waves traveling in opposite directions. We study the propagation at interfaces, with the aim of searching for effects susceptible to experimental detection. In particular, we show that a reflected wave is produced when a wave is incident on a semi-space containing a magnetostatic field. © 2016, The Author(s). Fil:Ferraro, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2016_n2_p1_Ferraro http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n2_p1_Ferraro |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Integrable Equations in Physics Integrable Field Theories |
spellingShingle |
Integrable Equations in Physics Integrable Field Theories Ferraro, Rafael Approximated solutions to Born-Infeld dynamics |
topic_facet |
Integrable Equations in Physics Integrable Field Theories |
description |
The Born-Infeld equation in the plane is usefully captured in complex language. The general exact solution can be written as a combination of holomorphic and anti-holomorphic functions. However, this solution only expresses the potential in an implicit way. We rework the formulation to obtain the complex potential in an explicit way, by means of a perturbative procedure. We take care of the secular behavior common to this kind of approach, by resorting to a symmetry the equation has at the considered order of approximation. We apply the method to build approximated solutions to Born-Infeld electrodynamics. We solve for BI electromagnetic waves traveling in opposite directions. We study the propagation at interfaces, with the aim of searching for effects susceptible to experimental detection. In particular, we show that a reflected wave is produced when a wave is incident on a semi-space containing a magnetostatic field. © 2016, The Author(s). |
author |
Ferraro, Rafael |
author_facet |
Ferraro, Rafael |
author_sort |
Ferraro, Rafael |
title |
Approximated solutions to Born-Infeld dynamics |
title_short |
Approximated solutions to Born-Infeld dynamics |
title_full |
Approximated solutions to Born-Infeld dynamics |
title_fullStr |
Approximated solutions to Born-Infeld dynamics |
title_full_unstemmed |
Approximated solutions to Born-Infeld dynamics |
title_sort |
approximated solutions to born-infeld dynamics |
publishDate |
2016 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2016_n2_p1_Ferraro http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n2_p1_Ferraro |
work_keys_str_mv |
AT ferrarorafael approximatedsolutionstoborninfelddynamics |
_version_ |
1768543480401887232 |