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Volume 12, Issue 3, August 2005, Pages 449 - 456
Implicit Solutions to Some Lorentz Invariant Nonlinear Equations Revisited
Authors
David B. Fairlie
Corresponding Author
David B. Fairlie
Received 7 October 2004, Accepted 1 December 2004, Available Online 1 August 2005.
- DOI
- 10.2991/jnmp.2005.12.3.8How to use a DOI?
- 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 [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 [3] is at the heart of the Chaundy solution, and is shown to yield solutions even to the linear wave equation.
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- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - David B. Fairlie PY - 2005 DA - 2005/08/01 TI - Implicit Solutions to Some Lorentz Invariant Nonlinear Equations Revisited JO - Journal of Nonlinear Mathematical Physics SP - 449 EP - 456 VL - 12 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2005.12.3.8 DO - 10.2991/jnmp.2005.12.3.8 ID - Fairlie2005 ER -