Soliton transformations for axially symmetric higher-dimensional gravity. II. Belinskii--Zakharov N-soliton transformations

Journal Article · Wed Apr 01 04:00:00 EST 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527580· OSTI ID:6628601

Lee, S

The solutions of vacuum Einstein equations in 4+K dimensions with 2+K commuting Killing vectors under the Abelian Kaluza--Klein ansatz are considered. This system admits Belinskii--Zakharov-type soliton transformations. The explicit formulas for general N-soliton transformations are obtained by iterating the formulas for one-soliton transformation.

• Research Organization: Institute of Physics, Academia Sinica, Taipei, Taiwan 11529. Republic of China
• OSTI ID: 6628601
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:4; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
COMPACTIFICATION
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATION
ITERATIVE METHODS
KALUZA-KLEIN THEORY
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTICLE MODELS
QUASI PARTICLES
SIGMA MODEL
SOLITONS
SYMMETRY
TRANSFORMATIONS
UNIFIED-FIELD THEORIES