For a one-dimensional discrete model of a crystal the form of a moving doma
in wall in the structure with period multiple of four was derived in the co
nstant amplitude approximation. The energy of the carrying commensurate str
ucture, the width and the energy of the domain wall were expressed in terms
of the amplitudes of Fourier harmonics of the carrying commensurate struct
ure. With the use of the result by Ishibashi, the relation between differen
t solutions was established. The applicability and the accuracy of the solu
tions were tested by comparing them with the numerically obtained exact sol
utions. (C) 2000 Elsevier Science B.V. All rights reserved.