  The computations of solutions of the field equations in the Model of
Topological Particles, formulated with a scalar SU(2)-field, have shown
instabilities leading to discrepancies between the numerical and analytical
solutions. We identify the origin of these deviations in misalignments of the
rotational axes corresponding to the SU(2) elements. The system of a single
soliton we use as an example to show that a constraint suppressing the
wave-like disturbances is able to lead to excellent agreement between the
result of the numerical minimisation procedure and the analytical solution.
