Equations of Geodesic Deviation and the Inverse Scattering Transform
| dc.creator | Varlamov, Vadim V. | |
| dc.date | 1998-08-17 | |
| dc.date | 2004-05-24 | |
| dc.date.accessioned | 2026-07-07T06:17:38Z | |
| dc.date.available | 2026-07-07T06:17:38Z | |
| dc.description | Solutions of equations of geodesic deviation in three- and four- dimensional spaces obtained by the inverse scattering transform are considered. It is shown that in the case of three-dimensional space solutions of geodesic deviation equations are reduced to solutions of the well-known Zakharov-Shabat problem. In four- dimensional space system of geodesic deviation equations is associated with $3\times 3$ matrix Schrödinger equation, and dependence on parameters defined by the nonlinear equations of three-wave interaction. | |
| dc.description | 32 pages, LaTeX2e, to appear in "Relativity, Gravitation, Cosmology" (Nova Science Publishers, New York) | |
| dc.identifier | https://arxiv.org/abs/solv-int/9808007 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9808007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94451 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Equations of Geodesic Deviation and the Inverse Scattering Transform | |
| dc.type | text |