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Two-dimensional solutions for Born-Infeld fields
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DOI：10.1007/JHEP08(2013)048.png)
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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.
Keyword:
Integrable Equations in Physics
Integrable Field Theories
期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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