Composite p - branes in Various Dimensions

We review an algebraic method of finding the composite p-brane solutions for a generic Lagrangian, in arbitrary spacetime dimension, describing an interaction of a graviton, a dilaton and one or two antisymmetric tensors. We set the Fock–De Donder harmonic gauge for the metric and the " no-force " condition for the matter fields. Then equations for the antisymmetric field are reduced to the Laplace equation and the equation of motion for the dilaton and the Ein-stein equations for the metric are reduced to an algebraic equation. Solutions composed of n constituent p-branes with n independent harmonic functions are given. The form of the solutions demonstrates the harmonic functions superpo-sition rule in diverse dimensions. Relations with known solutions in D = 10 and D = 11 dimensions are discussed.