title: X-wave solutions of complex Ginzburg-Landau equations.
abstract: A solution in the form of X-wave patterns of the complex Ginzburg-Landau equation with a harmonic background inhomogeneity is obtained. The pattern can be attributed to the effects of the harmonic potential and the boundary configuration and size. By varying the harmonic of the background potential, the competition among three types of wave patterns: spiral, X, and target, is investigated by following the evolution of the Fourier modes.
authors.affiliation: Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, People's Republic of China.
authors.forename: C T
authors.initials: CT
authors.lastname: Zhou
authors.forename: M Y
authors.initials: MY
authors.lastname: Yu
authors.forename: X T
authors.initials: XT
authors.lastname: He