Inverse Scattering Problem for Vector Fields and the Heavenly Equation
classification
🌊 nlin.SI
keywords
equationfieldsproblemvectorheavenlyinversemultidimensionalscattering
read the original 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 partial differential equation in four dimensions relevant in General Relativity, which arises from the commutation of multidimensional Hamiltonian vector fields
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.