2013/04/30 by Rafael Ferraro · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #Function (biology) #Geophysical and Geoelectrical Methods #Holomorphic function #Magnetostatics #Order (exchange) #Wave equation #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep08(2013)048
published as JHEP 1308:048,2013 · 10 pages. Minor changes, enlarged and corrected bibliography, published version
openalex publication_date 2013/08/01 · arxiv created 2013/12/17 · arxiv updated 2016/02/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.