A Lax Representation for the Born-Infeld Equation

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.

Latex, 14 pages, Note and references added, incorporating connection with hyperbolic Monge-Ampère equations

References in corpus (3)

• World-Volume Action of the M Theory Five-Brane
• A Lax Description for Polytropic Gas Dynamics
• Hamiltonian structure of real Monge-Ampère equations

Cited by in corpus (10)

• Supersymmetric Polytropic Gas Dynamics
• Dispersionless Fermionic KdV
• Properties of Moyal-Lax Representation
• Lucas polynomials and a standard Lax representation for the polytropic gas dynamics
• Lightlike shell solitons of extremal space-time film
• Standing wave solutions in Born-Infeld theory
• Dispersionless sTB
• A Lax Equation for the Non-Linear Sigma Model
• Non polynomial conservation law densities generated by the symmetry operators in some hydrodynamical models
• Lagrangian Approach to Dispersionless KdV Hierarchy