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Boyer-finley Equation and Systems of Hydrodynamic Type
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ferapontov, E. V. |
| Copyright Year | 2004 |
| Abstract | We reduce Boyer-Finley equation to a family of compatible systems of hydrodynamic type, with characteristic speeds expressed in terms of spaces of rational functions. The systems of hydrodynamic type are then solved by the generalized hodograph method, providing solutions of the Boyer-Finley equation including functional parameters. In this paper we construct solutions of the dispersionless non-linear PDE – the Boyer-Finley equation (self-dual Einstein equation with a Killing vector), U xy = (e U) tt , (1) via reduction to a family of compatible systems of hydrodynamic type. This equation was actively studied during last twenty years by many authors; we just mention So far the most general scheme of the construction of its solutions was developed in [8, 9]. In these works solutions of the Boyer-Finley equation were derived by averaging an appropriate two-point Baker-Akhiezer function in genus zero which corresponds to 1 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/gr-qc/0401118v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Dual Genus Hydrodynamics Nonlinear system Solutions |
| Content Type | Text |
| Resource Type | Article |
