KdV solitons in Einstein's vacuum field equations

Details KdV solitons in Einstein's vacuum field equations KdV solitons in Einstein's vacuum field equations

2010-03-13

arxiv.org/abs/1003.2678v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages, no figures

Scientific paper

We present a metric for which Einstein's field equations in vacuum generate
the Kortweg-de Vries (KdV) equation and thus its $N$-soliton solutions solve
the vacuum equations. The metric of the one soliton solution has been
investigated and is a non-singular, Lorentzian metric of type N in the Petrov
classification.

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