6533b7d8fe1ef96bd126a543

RESEARCH PRODUCT

Soliton Solutions with Real Poles in the Alekseev formulation of the Inverse-Scattering method

Jerry B. GriffithsSalvatore Miccichè

subject

Electromagnetic fieldPhysicsPhysics and Astronomy (miscellaneous)ScatteringMathematical analysisInverseFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum CosmologyMatrix (mathematics)Physics and Astronomy (all)Nonlinear Sciences::Exactly Solvable and Integrable SystemsMetric (mathematics)Minkowski spaceInverse scattering problemSoliton

description

A new approach to the inverse-scattering technique of Alekseev is presented which permits real-pole soliton solutions of the Ernst equations to be considered. This is achieved by adopting distinct real poles in the scattering matrix and its inverse. For the case in which the electromagnetic field vanishes, some explicit solutions are given using a Minkowski seed metric. The relation with the corresponding soliton solutions that can be constructed using the Belinskii-Zakharov inverse-scattering technique is determined.

yearjournalcountryeditionlanguage
1999-09-22
10.1088/0264-9381/17/1/301http://arxiv.org/abs/gr-qc/9909074