Two-dimensional solutions for Born-Infeld fields
The non-linear second order Born-Infeld equation is reduced to a simpler first order complex equation, which can be trivially solved for the coordinates as functions of the field. Each solution is determined by the choice of a holomorphic function subjected to boundary conditions. The explanation of...
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todo:paper_11266708_v2013_n8_p_Ferraro2023-10-03T16:07:01Z Two-dimensional solutions for Born-Infeld fields Ferraro, R. Integrable Equations in Physics Integrable Field Theories The non-linear second order Born-Infeld equation is reduced to a simpler first order complex equation, which can be trivially solved for the coordinates as functions of the field. Each solution is determined by the choice of a holomorphic function subjected to boundary conditions. The explanation of the method is accompanied by applications to Born-Infeld electrostatics, magnetostatics and wave propagation. © 2013 SISSA, Trieste, Italy. 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_v2013_n8_p_Ferraro |
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Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
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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. Two-dimensional solutions for Born-Infeld fields |
topic_facet |
Integrable Equations in Physics Integrable Field Theories |
description |
The non-linear second order Born-Infeld equation is reduced to a simpler first order complex equation, which can be trivially solved for the coordinates as functions of the field. Each solution is determined by the choice of a holomorphic function subjected to boundary conditions. The explanation of the method is accompanied by applications to Born-Infeld electrostatics, magnetostatics and wave propagation. © 2013 SISSA, Trieste, Italy. |
format |
JOUR |
author |
Ferraro, R. |
author_facet |
Ferraro, R. |
author_sort |
Ferraro, R. |
title |
Two-dimensional solutions for Born-Infeld fields |
title_short |
Two-dimensional solutions for Born-Infeld fields |
title_full |
Two-dimensional solutions for Born-Infeld fields |
title_fullStr |
Two-dimensional solutions for Born-Infeld fields |
title_full_unstemmed |
Two-dimensional solutions for Born-Infeld fields |
title_sort |
two-dimensional solutions for born-infeld fields |
url |
http://hdl.handle.net/20.500.12110/paper_11266708_v2013_n8_p_Ferraro |
work_keys_str_mv |
AT ferraror twodimensionalsolutionsforborninfeldfields |
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1807320923076820992 |