Legendre transformation in the Born-Infeld model, Monge-Ampere equation and exact solutions

DOI10.1007/S10958-024-07378-5MaRDI QIDQ6634779

E. Sh. Gutshabash

Publication date: 8 November 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

existenceMonge-Ampère equationBorn-Infeld equationquasilinear system

Mathematics Subject Classification ID

Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with mean curvature operator (35J93)

Cites Work

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• The Monge-Ampère equation and its applications
• The Bäcklund transform and a new exact solution of the Born-Infeld model
• Symplectic and Poisson geometry on loop spaces of smooth manifolds and integrable equations
• ON THE INTEGRABILITY OF A CLASS OF MONGE–AMPÈRE EQUATIONS
• Multi-Hamiltonian structure of the Born–Infeld equation
• Foundations of the new field theory.
• Nonlinear electrodynamics from quantized strings

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