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  1. 1 Gao Y.-J.

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Double-Alekseev inverse scattering method in the stationary axi-symmetric vacuum gravitation field equations

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Wang C.-Y., Gui Y.-X., Gao Y.-J.
Open Physics
|
2008
|
vol. 6
|
issue 3
462-468
EN
We present a new improvement to the Alekseev inverse scattering method. This improved inverse scattering method is extended to a double form, followed by the generation of some new solutions of the double-complex Kinnersley equations. As the double-complex function method contains the Kramer-Neugebauer substitution and analytic continuation, a pair of real gravitation soliton solutions of the Einstein’s field equations can be obtained from a double N-soliton solution. In the case of the flat Minkowski space background solution, the general formulas of the new solutions are presented.
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