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- W1996730186 abstract "Riemann--Hilbert problems are an important solution technique for completely integrable differential equations. They are used to introduce a free function in the solutions which can be used at least in principle to solve initial or boundary value problems. But even if the initial or boundary data can be translated into a Riemann--Hilbert problem, it is in general impossible to obtain explicit solutions. In the case of the Ernst equation, however, this is possible for a large class because the matrix problem can be shown to be gauge equivalent to a scalar one on a hyperelliptic Riemann surface that can be solved in terms of theta functions. As an example we discuss the rigidly rotating dust disk." @default.
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- W1996730186 date "1998-01-15" @default.
- W1996730186 modified "2023-09-27" @default.
- W1996730186 title "Explicit solution of Riemann-Hilbert problems for the Ernst equation" @default.
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- W1996730186 doi "https://doi.org/10.1103/physrevd.57.857" @default.
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