Hodograph Transformations and Hodograph Invariant Differential Equations (original) (raw)
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Proceedings of the Academy of Sciences of the Estonian SSR. Physics. Mathematics, 1986
A method of performing hodograph transformations of partial derivatives of any order lor arbitrary dimensions is worked out. Hodograph transformation means a change of the roles of arguments and functions. The formulas obtained for first derivatives can easily be applied to any dimensions. Several explicit formulas for lower orders and dimensions are also given. Application to partial differential equations is discussed.
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