EinsteinβWeyl geometry, the dKP equation
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Maciej Dunajski; Lionel J. Mason; Paul Tod
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Article
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2001
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Elsevier Science
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English
β 226 KB
It is shown that Einstein-Weyl (EW) equations in 2+1 dimensions contain the dispersionless Kadomtsev-Petviashvili (dKP) equation as a special case: if an EW structure admits a constantweighted vector then it is locally given by h = dy 2 -4 dx dt -4u dt 2 , Ξ½ = -4u x dt, where u = u(x, y, t) satisfie