Abstract:
P. Clarkson and M. Kruskal (1989) proposed a method for finding reductions
of partial differential equations with two independent variables. For the
Boussinesq equation new similarity reductions were obtained. This reductions
cannot be obtained using classical Lie group method. In our paper more
simple method for finding reductions of partial differential equations with
two independent variables is proposed. Examples of application this method
are given. For stationary boundary layer equation new similarity reductions
are obtained.