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Implicit solutions to some Lorentz invariant non-linear equations revisited.

Fairlie, D. B. (2005) 'Implicit solutions to some Lorentz invariant non-linear equations revisited.', Journal of nonlinear mathematical physics., 12 (3). pp. 449-456.


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.

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Record Created:20 Mar 2008
Last Modified:08 Apr 2009 16:30

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