Inverse Scattering Problem for Vector Fields and the Heavenly Equation
可精确求解与可积系统
2007-05-23 v1
摘要
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
引用
@article{arxiv.nlin/0512043,
title = {Inverse Scattering Problem for Vector Fields and the Heavenly Equation},
author = {S. V. Manakov and P. M. Santini},
journal= {arXiv preprint arXiv:nlin/0512043},
year = {2007}
}
备注
18 pages