Solutions with intersecting p-branes related to Toda chains

Solutions in multidimensional gravity with m p-branes related to Toda-type systems (of general type) are obtained. These solutions are defined on a pr oduct of n + 1 Ricci-flat spaces M-0 x M-1 x ... x M-n and are governed by one harmonic function on M-0. The solutions are defined up to the solutions of Laplace and Toda-type equations and correspond to null-geodesics of the (sigma-model) target-space metric. Special solutions relating to A(m) Toda chains (e.g., with m = 1,2) are considered. (C) 2000 American Institute of Physics. [S0022-2488(00)01801-6].