  Exact chirped elliptic wave solutions are obtained within the framework of
coupled cubic nonlinear Helmholtz equations in the presence of non-Kerr
nonlinearity like self steepening and self frequency shift. It is shown that,
for a particular combination of the self steepening and the self frequency
shift parameters, the associated nontrivial phase gives rise to chirp reversal
across the solitary wave profile. But a different combination of non-Kerr terms
leads to chirping but no chirp reversal. The effect of nonparaxial parameter on
physical quantities such as intensity, speed and pulse-width of the elliptic
waves is studied too. It is found that the speed of the solitary wave can be
tuned by altering the nonparaxial parameter. Stable propagation of these
nonparaxial elliptic waves is achieved by an appropriate choice of parameters.
