  An analysis of nonlinear transverse shear wave has been carried out on
non-Newtonian viscoelastic liquid using generalized hydrodynamic(GH) model. The
nonlinear viscoelastic behavior is introduced through velocity shear dependence
of viscosity coefficient by well known Carreau -Bird model. The dynamical
feature of this shear wave leads to the celebrated Fermi-Pasta-Ulam (FPU)
problem. Numerical solution has been obtained which shows that initial periodic
solutions reoccur after passing through several patterns of periodic waves. A
possible explanation for this periodic solution is given by constructing
modified Korteweg de Vries (mKdV) equation. This model has application from
laboratory to astrophysical plasmas as well as biological systems.
