Implicit solutions to some Lorentz invariant non-linear equations revisited

نویسنده

  • David B. Fairlie
چکیده

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 [1] 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 [2] is at the heart of the Chaundy solution, and is shown to yield solutions even to the linear wave equation.

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تاریخ انتشار 2004