title: Solitary solutions including spatially localized chaos and their interactions in two-dimensional Kolmogorov flow.
abstract: Two-dimensional Kolmogorov flow in wide periodic boxes is numerically investigated. It is shown that the total flow rate in the direction perpendicular to the force controls the characteristics of the flow, especially the existence of spatially localized solitary solutions such as traveling waves, periodic solutions, and chaotic solutions, which can behave as elementary components of the flow. We propose a procedure to construct approximate solutions consisting of solitary solutions. It is confirmed by direct numerical simulations that these solutions are stable and represent interactions between elementary components such as collisions, coexistence, and collapse of chaos.
authors.affiliation: Division of Physics and Astronomy, Graduate School of Science, Kyoto University, Japan.
authors.forename: Yoshiki
authors.initials: Y
authors.lastname: Hiruta
authors.affiliation: Division of Physics and Astronomy, Graduate School of Science, Kyoto University, Japan.
authors.forename: Sadayoshi
authors.initials: S
authors.lastname: Toh