Abstract:
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).
Registro:
Documento: |
Artículo
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Título: | Approximated solutions to Born-Infeld dynamics |
Autor: | Ferraro, R.; Nigro, M. |
Filiación: | Instituto de Astronomía y Física del Espacio (IAFE, CONICET-UBA), Casilla de Correo 67, Sucursal 28, Buenos Aires, 1428, Argentina Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
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Palabras clave: | Integrable Equations in Physics; Integrable Field Theories |
Año: | 2016
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Volumen: | 2016
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Número: | 2
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Página de inicio: | 1
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Página de fin: | 14
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DOI: |
http://dx.doi.org/10.1007/JHEP02(2016)002 |
Título revista: | Journal of High Energy Physics
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Título revista abreviado: | J. High Energy Phys.
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ISSN: | 11266708
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2016_n2_p1_Ferraro |
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Citas:
---------- APA ----------
Ferraro, R. & Nigro, M.
(2016)
. Approximated solutions to Born-Infeld dynamics. Journal of High Energy Physics, 2016(2), 1-14.
http://dx.doi.org/10.1007/JHEP02(2016)002---------- CHICAGO ----------
Ferraro, R., Nigro, M.
"Approximated solutions to Born-Infeld dynamics"
. Journal of High Energy Physics 2016, no. 2
(2016) : 1-14.
http://dx.doi.org/10.1007/JHEP02(2016)002---------- MLA ----------
Ferraro, R., Nigro, M.
"Approximated solutions to Born-Infeld dynamics"
. Journal of High Energy Physics, vol. 2016, no. 2, 2016, pp. 1-14.
http://dx.doi.org/10.1007/JHEP02(2016)002---------- VANCOUVER ----------
Ferraro, R., Nigro, M. Approximated solutions to Born-Infeld dynamics. J. High Energy Phys. 2016;2016(2):1-14.
http://dx.doi.org/10.1007/JHEP02(2016)002