Two-dimensional nonlinear diffraction of magnetostatic waves (MSW) in
ferrite films is studied numerically using the model of nonlinear para
bolic equation. This equation is derived by a new method from a biline
ar relation similar to the Lorentz lemma. it is shown, that in the fra
mework of this model the evolution of two-dimensional backward volume
MSW pulse leads to a collapse in the case of an infinite dim, while in
a film waveguide of a finite width the collapse can be avoided, and t
he pulse amplitude can be stabilized. Dynamics of modulation instabili
ty of both backward volume and forward volume MSW under continuous exc
itation is also investigated.