A Lax Representation for the Born-Infeld Equation
High Energy Physics - Theory
2009-10-30 v2 Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Cite
@article{arxiv.hep-th/9712081,
title = {A Lax Representation for the Born-Infeld Equation},
author = {J. C. Brunelli and Ashok Das},
journal= {arXiv preprint arXiv:hep-th/9712081},
year = {2009}
}
Comments
Latex, 14 pages, Note and references added, incorporating connection with hyperbolic Monge-Amp\`ere equations