Precise wave solutions of nonlinear prcblems from the field theory

Precise classical wave solutions are acquired for movement equations for the SU(2) Young-Mills fields which interact with an isodoublet of Higgs bosons. It is shown that the classical effective action of $W^{(0)}$ has a nonanalytical dependence on the parameter of the problem $\nu = 4\lambda/g^2$. The special point $W^{(0)}$ corresponds to the resonance behavior of the amplitudes and frequency of the intensity of the Young-Mills and Higgs fields.