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

• Authors: Chun-Yan Wang , Yuan-Xing Gui , Ya-Jun Gao
• Languages of publication: EN

Abstracts

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.

Keywords

EN

non-linear system; inverse scattering method; double-complex function method; soliton solution

Discipline

• 02.30.Ik: Integrable systems
• 02.30.Jr: Partial differential equations
• 04.20.Jb: Exact solutions

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 3
• Pages: 462-468

Dates

published

1 - 9 - 2008

online

17 - 7 - 2008

Contributors

author

Chun-Yan Wang

• School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian, 116023, China

author

Yuan-Xing Gui

• School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian, 116023, China

author

Ya-Jun Gao

• Department of Physics, Bohai University, Jinzhou, 121003, China

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Identifiers

DOI

10.2478/s11534-008-0049-6