Type II hidden symmetries of the second heavenly equation |
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| Authors: | Barbara Abraham-Shrauner |
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| Affiliation: | Department of Electrical and Systems Engineering, Washington University, St. Louis, MO 63130, USA |
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| Abstract: | A Type II hidden symmetry of the non-linear second heavenly equation in gravitational physics is identified. Its provenance from other partial differential equations is studied. Two reductions of the second heavenly equation produce the Monge–Ampère equation in similarity variables and new analytic solutions are possible. |
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| Keywords: | 02.20.Qs 02.20.Sv 02.30.Jr 42.25.Bs |
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