Aspects of Integrability In Self-Dual Einstein Metrics and Related Equations
Aspects of Integrability In Self-Dual Einstein Metrics and Related Equations
The nonlinear system describing self-dual Einstein metrics and its generalizations are discussed from the point of view of integrability. It is shown that these nonlinear systems share a variety of remarkable features (such as the existence of a linear scattering problem, a group-theoretical solution technique similar to the Riemann-Hilbert problem, …