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hep-thOct 1, 1993
17
citations (OpenAlex)
authors
  • D. B. Fairlie
  • J. A. Mulvey
institutions
  • Durham University
arXiv abstractPDF
paper

Integrable Generalisations of the 2-dimensional Born Infeld Equation

arXiv:hep-th/9310005 · doi:10.1088/0305-4470/27/4/024

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.

11 pages, Latex, DTP/93/39

References in corpus (5)

  • Universal Field Equations with Covariant Solutions D.B. Fairlie
  • Euler Hierarchies and Universal Equations
  • Universal Field Equations with Reparametrisation Invariance
  • Linearisation of Universal Field Equations
  • Equations with infinitely many Lagrangians

Cited by in corpus (10)

  • Testing Born-Infeld electrodynamics in waveguides
  • 2D Born-Infeld electrostatic fields
  • Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations
  • The Hamiltonian structure of the dispersionless Toda hierarchy
  • Morphing quantum mechanics and fluid dynamics
  • Properties of the Scalar Universal Equations
  • Implicit Solutions of PDE's
  • Proceedings to the Workshops ''What comes beyond the Standard model'' 2000,2001, VOLUME 1: Festschrift dedicated to the 60th birthday of Holger Bech Nielsen
  • Another Complex Bateman Equation
  • Equations with an infinite number of explicit Conservation Laws
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