A hodograph transformation which applies to the Boyer-Finley equation

  • Mañas M
  • Alonso L
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Abstract

A hodograph transformation for a wide family of multidimensional nonlinear partial differential equations is presented. It is used to derive solutions of the Boyer-Finley equation (dispersionless Toda equation), which are not group invariant, and the corresponding family of explicit ultra-hyperbolic selfdual vacuum spaces. © 2003 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Boyer-Finley equation
  • Einstein-Weyl spaces
  • Hodograph transformations

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Authors

  • Manuel Mañas

  • Luis Martínez Alonso

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