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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Autores principales: Ferraro, R., Nigro, M.
Formato: JOUR
Materias:
Integrable Equations in Physics
Integrable Field Theories
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n2_p1_Ferraro
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_11266708_v2016_n2_p1_Ferraro2023-10-03T16:07:25Z Approximated solutions to Born-Infeld dynamics Ferraro, R. Nigro, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, R.
Nigro, M.
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).
format JOUR
author Ferraro, R.
Nigro, M.
author_facet Ferraro, R.
Nigro, M.
author_sort Ferraro, R.
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
url http://hdl.handle.net/20.500.12110/paper_11266708_v2016_n2_p1_Ferraro
work_keys_str_mv AT ferraror approximatedsolutionstoborninfelddynamics
AT nigrom approximatedsolutionstoborninfelddynamics
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