Published December 11, 2006
| Version v1
Journal article
Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation
Creators
- 1. Landau Institute for Theoretical Physics, Moscow (Russian Federation)
- 2. Dipartimento di Fisica, Universita di Roma 'La Sapienza', and Istituto Nazionale di Fisica Nucleare, Sezione di Roma 1, Piazz.le Aldo Moro 2, I-00185 Rome (Italy)
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 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
Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2006.07.011;
- arXiv
- arXiv:nlin/0604024v1;
- PII
- S0375-9601(06)01092-9;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 359
- Journal Issue
- 6
- Journal Page Range
- p. 613-619
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38067334
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CAUCHY PROBLEM; EINSTEIN FIELD EQUATIONS; HAMILTONIANS; INVERSE SCATTERING PROBLEM; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; SCALARS; VECTOR FIELDS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS
Optional Information
- Copyright
- Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.