Einstein-Weyl geometry, the dKP equation and twistor theory
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 constant weighted vector then it is locally given by $h=d y^2-4d xd t-4ud t^2, \nu=-4u_xd t$, where $u=u(x, y, t)$ satisfies...
| Main Authors: | , , |
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| Format: | Journal article |
| Published: |
2000
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