CLOSED STRINGS WITH LOW HARMONICS AND KINKS

Low-harmonic formulas for closed relativistic strings are given. Gener al parametrizations are presented for the addition of second- and thir d-harmonic waves to the fundamental wave. The method of determination of the parametrizations is based upon a product representation found f or the finite Fourier series of string motion in which the constraints are automatically satisfied. The construction of strings with kinks i s discussed, including examples. A procedure is laid out for the repre sentation of kinks that arise from self-intersection, and subsequent i ntercommutation, for harmonically parametrized cosmic strings.