[en] The local structure of the one-parameter set of invariant curves for Chew-Low equations having the form of the convergent series is considered. Coefficients of this series βsub(i)(C) are polynomials in set parameter C. The transition to the general solution of Chew-Low equations is carried out by replacing the parameter C by arbitrary even, real, meromorphic function C(w) with the property C(w+1)=-C(w). The procedure for calculation of coefficients βsub(i)(C), which is based on the solution of nonlinear functional eqtions, following from Chew-Low equations, is developed. First twelve coefficients βsub(i)(C) are calculated analytically by computer, using program system SCHOONSCHIP