Inverse scattering method and soliton solutionfamily for the Einstein--Maxwell theory with multiple Abelian gauge fields |
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Authors: | Gao Ya-Jun |
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Institution: | Department of Physics, Bohai University, Jinzhou { rm
121013, China |
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Abstract: | A Hauser--Ernst-type extended hyperbolic complex linear system given
in our previous paper Gao Y J 2004 {\it Chin. Phys.} {\bf 13} 602]
is slightly modified and used to develop a new inverse scattering
method for the stationary axisymmetric Einstein--Maxwell theory with
multiple Abelian gauge fields. The reduction procedures in this
inverse scattering method are found to be fairly simple, which makes
the inverse scattering method be fine and effective in practical
application. As an example, a concrete family of soliton solutions
for the considered theory is obtained. |
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Keywords: | Einstein--Maxwell theory with
multiple Abelian gauge fields inverse scattering method soliton
solution family |
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