Integrable Generalisations of the 2-dimensional Born Infeld Equation
D.B. Fairlie, J.A. Mulvey
TL;DR
This paper extends the 2D Born-Infeld equation to higher dimensions, preserving Lorentz invariance and integrability, and maintains homogeneity in second derivatives of the field.
Contribution
It introduces a higher-dimensional, integrable generalisation of the Born-Infeld equation that retains key symmetries and properties.
Findings
Successfully generalised the equation to higher dimensions
Maintained Lorentz invariance in the generalisation
Ensured the equation remains integrable
Abstract
The Born-Infeld equation in two dimensions is generalised to higher dimensions whilst retaining Lorentz Invariance and complete integrability. This generalisation retains homogeneity in second derivatives of the field.
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