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most citedLift of noninvariant solutions of heavenly equations from three to four dimensions and new ultra-hyperbolic metrics

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Partner symmetries and non-invariant solutions of four-dimensional heavenly equations

A A Malykh, Y Nutku, M B Sheftel

We extend our method of partner symmetries to the hyperbolic complex Monge-Ampère equation and the second heavenly equation of Plebañski. We show the existence of partner symmetrie…