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.
Mañas, M., & Alonso, L. M. (2004). A hodograph transformation which applies to the Boyer-Finley equation. Physics Letters, Section A: General, Atomic and Solid State Physics, 320(5–6), 383–388. https://doi.org/10.1016/j.physleta.2003.10.023