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. (c) 2006 Elsevier B.V. All rights reserved.
Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation / S. V., Manakov; Santini, Paolo Maria. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - STAMPA. - 359:6(2006), pp. 613-619. [10.1016/j.physleta.2006.07.011]
Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation
SANTINI, Paolo Maria
2006
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. (c) 2006 Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
