  In this doctoral thesis a model of many orthogonally commonly intersecting
delocalized branes with neither harmonic gauge nor any other extra conditions
is discussed. Further a method of solving equations of motion of the model is
given. It is proved that the model reduces to the so called Toda-like system
which is solvable at least in several cases relevant for realistic brane
configurations. The solutions generally can break supersymmetry. Examples of
the solutions are given and some their properties are considered in more
detail. Especially the presence and interpretation of singularities is
discussed and the relation between energy and charge density of the solution. A
certain duality in the space of solutions is described connecting two seemingly
different elements of the space. It is shown that the solution dual to the
supersymmetric one breaks supersymmetry, but it still possesses some features
usually attributed only to solutions preserving supersymmetry. In particular
for the dual solution equality between energy and charge density holds.
