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Gauge Theoretical Method in Solving Zero-curvature Equations I. -- Application to the Static Einstein-Maxwell Equations with Magnetic Charge
Takahiro Azuma, Takao Koikawa
The inverse scattering problem is applied to 2-dimensional partial differential equations called soliton equations such as the KdV equation and so on. It is also used to integrate…
An Infinite Number of Static Soliton Solutions to the 5D Einstein-Maxwell Equations with a Dilaton Field
Takahiro Azuma, Takao Koikawa
We study the 5D static Einstein-Maxwell equations with a dilaton field. We construct an infinte number of solutions by using a soliton technique. We study the rod structure of 2-so…
An Infinite Number of Static Soliton Solutions to 5D Einstein-Maxwell Equations
Takahiro Azuma, Takao Koikawa
The soliton technique is applied to the 5D static Einstein-Maxwell equations, and an infinite number of solutions are explicitly obtained. We study the rod structure of 2-soliton s…
Infinite Number of Stationary Soliton Solutions to Five-dimensional Vacuum Einstein Equation
Takahiro Azuma, Takao Koikawa
We obtain an infinite number of soliton solutions to the the five-dimensional stationary Einstein equation with axial symmetry by using the inverse scattering method. We start with…