Inverse Scattering Problem for Vector Fields and the Heavenly Equation

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 partial differential equation in four dimensions relevant in General Relativity, which arises from the commutation of multidimensional Hamiltonian vector fields
18 pages

Keywords

Exactly Solvable and Integrable Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/106458

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0512043
 http://arxiv.org/abs/nlin/0512043

Collections

arXiv