Several classes of exact solutions to the 1+1 Born-Infeld equation

DOI10.1016/J.CNSNS.2013.09.034zbMath1457.78004OpenAlexW2040713985MaRDI QIDQ2299795

Kristina Mallory, Robert A. van Gorder, Kuppalapalle Vajravelu

Publication date: 24 February 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.09.034

zbMATH Keywords

exact solutionsnonlinear electrodynamicsBorn-Infeld model

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07)

Related Items (6)

Equilibrium measures and equilibrium potentials in the Born-Infeld model ⋮ Wick rotations of solutions to the minimal surface equation, the zero mean curvature equation and the Born-Infeld equation ⋮ Symmetry analysis and some new exact solutions of Born–Infeld equation ⋮ Standing wave solutions in Born-Infeld theory ⋮ Born-Infeld solitons, maximal surfaces, and Ramanujan's identities ⋮ The Bäcklund transform and a new exact solution of the Born-Infeld model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Redundant exact solutions of nonlinear differential equations
• Seven common errors in finding exact solutions of nonlinear differential equations
• Born-Infeld particles and Dirichlet \(p\)-branes
• Brane dynamics from the Born-Infeld action
• Dyons and interactions in nonlinear (Born-Infeld) electrodynamics
• A Lax representation for the Born-Infeld equation.
• Born-Infeld electrodynamics: Clifford number and spinor representations
• New explicit exact solutions of the Born-Infeld equation
• Gravitational Instantons and Minimal Surfaces
• Foundations of the new field theory
• Classical solutions in the Born—Infeld theory
• Nonlinear electrodynamics from quantized strings

This page was built for publication: Several classes of exact solutions to the 1+1 Born-Infeld equation