Abstract
We prove that second-order Monge-Ampère equations for one function of two variables are connected to the wave equation by a Bäcklund transformation if and only if they are integrable by the method of Darboux at second order.
Citation
Jeanne N. Clelland. Thomas A. Ivey. "Bäcklund Transformations and Darboux Integrability for Nonlinear Wave Equations." Asian J. Math. 13 (1) 15 - 64, March 2009.
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