Multisolitons on vortex filaments: the origin of axial tangling

✍ Scribed by A. Maksimović; S. Lugomer; I. Michieli

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 830 KB
• Volume: 17
• Category: Article
• ISSN: 0889-9746
• DOI: 10.1016/s0889-9746(02)00120-2

✦ Synopsis

The results of experimental and theoretical study of two-dimensional vortex filament tangling, appearing in lasermatter interactions on nanosecond time scale, are presented. A set of parallel vortex filaments shows various kinds of axial tangling as a consequence of excitation of multisolitons on filaments. It was shown that few basic types of the soliton combinations, either of ðþÞ or ðÀÞ wave vector, or both, give rise of tangling of various degrees of topological complexity. Some of the ''basic elements'' of the filament organization, which repeat in the tangled structure, were obtained analytically by the Hirota method. The hierarchy in topological complexity of axial tangling of filaments originates from random shock waves (which generate solitons with alternating polarity), while random distribution of the multisoliton velocities causes various cases of their collision and spatial organization.