Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1997-05-02
Bulletin of Moldavian Academy of Sciences, ser. math. N3, (1996) 31-48
Nonlinear Sciences
Exactly Solvable and Integrable Systems
17 pages, Latex
Scientific paper
Equations of geodesic deviation for the 3-dimensional and 4-dimensional Riemann spaces are discussed. Availability of wide classes of exact solutions of such equations, due to recent results for the matrix Schr\"odinger equation, is demonstrated. Particular classes of exact solutions for the geodesic deviation equation as well as for the Raychaudhuri and generalized Raychaudhuri equation are presented. Solutions of geodesic deviation equation for the Schwarzshild and Kasner metrics are found.
Dryuma Valery S.
Konopelchenko Boris. G.
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