Double-Alekseev inverse scattering method in the stationary axi-symmetric vacuum gravitation field equations
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AbstractWe 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.
1999 ◽
Vol 17
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pp. 1-9
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1988 ◽
Vol 03
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pp. 1147-1154
1989 ◽
Vol 12
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pp. 327-332
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1990 ◽
Vol 05
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pp. 1763-1772
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1977 ◽
Vol 352
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pp. 481-503
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2002 ◽
Vol 13
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pp. 1819-1826
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2014 ◽
Vol 1051
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pp. 1000-1003
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