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

100%

Wang C.-Y., Gui Y.-X., Gao Y.-J.

Open Physics

2008

vol. 6

issue 3

462-468

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.

Inverse scattering method and soliton double solution family for string effective action

84%

Gao Y.-J.

Open Physics

2009

vol. 7

issue 4

821-828

A so-called modified Hauser-Ernst-type extended double-complex linear system is established and used to develop a new inverse scattering method for solving the equations of motion of the string effective action describing the coupled gravity, dilaton and Kalb-Ramond fields. The reduction procedures in this inverse scattering method are found to be fairly simple, which makes the application of the inverse scattering method fine and effective. As an application, a concrete family of soliton double solutions for the considered theory is obtained.

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2 Open Physics

1 2009

1 2008

2 Gao Y.-J.

1 Gui Y.-X.

1 Wang C.-Y.

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

Inverse scattering method and soliton double solution family for string effective action