A Lax Representation for the Born-Infeld Equation

Details A Lax Representation for the Born-Infeld Equation A Lax Representation for the Born-Infeld Equation

1997-12-08

arxiv.org/abs/hep-th/9712081v2

Phys.Lett. B426 (1998) 57-63

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 14 pages, Note and references added, incorporating connection with hyperbolic Monge-Amp\`ere equations

Scientific paper

10.1016/S0370-2693(98)00265-2

We study the Born-Infeld equation from a Lagrangian point of view emphasizing the duality symmetry present in such systems. We obtain the Hamiltonian formulation directly from the Lagrangian. We also show that this system admits a dispersionless nonstandard Lax representation which directly leads to all the conserved charges (including the ones not previously obtained). We also present the generating function for these charges and point out various other properties of this system.

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