Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1862601 | Physics Letters A | 2006 | 7 Pages |
Abstract
We solve the inverse scattering problem for multidimensional vector fields and we use this result to construct the formal solution of the Cauchy problem for the second heavenly equation of Plebanski, a scalar nonlinear partial differential equation in four dimensions underlying self-dual vacuum solutions of the Einstein equations, which arises from the commutation of multidimensional Hamiltonian vector fields.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
S.V. Manakov, P.M. Santini,