Implicit solutions to some Lorentz invariant non-linear equations revisited

Fairlie, David B.

Abstract

An implicit solution to the vanishing of the so-called Universal Field Equation, or Bordered Hessian, which dates at least as far back as 1935 \cite{chaundy} is revived, and derived from a much later form of the solution. A linear ansatz for an implicit solution of second order partial differential equations, previously shown to have wide applicability \cite{fai} is at the heart of the Chaundy solution, and is shown to yield solutions even to the linear wave equation.

Citation

Fairlie, D. B. (2005). Implicit solutions to some Lorentz invariant non-linear equations revisited. Journal of Nonlinear Mathematical Physics, 12(3), 449-456. https://doi.org/10.2991/jnmp.2005.12.3.8

• Journal Article Type: Article
• Publication Date: 2005-08
• Deposit Date: Mar 20, 2008
• Journal: Journal of Nonlinear Mathematical Physics
• Print ISSN: 1402-9251
• Electronic ISSN: 1776-0852
• Publisher: Atlantis Press
• Peer Reviewed: Peer Reviewed
• Volume: 12
• Issue: 3
• Pages: 449-456
• DOI: https://doi.org/10.2991/jnmp.2005.12.3.8
• Public URL: https://durham-repository.worktribe.com/output/1592820