Domain walls in wave patterns

Igor Aranson, Lev Tsimring

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


We study the interaction of counterpropagating traveling waves in 2D nonequilibrium media described by the complex Swift-Hohenberg equation (CSHE). Direct numerical integration of CSHE reveals novel features of domain walls separating wave systems: wave-vector selection and transverse instability. Analytical treatment is based on a study of coupled complex Ginzburg-Landau equations for counterpropagating waves. At the threshold we find the stationary (yet unstable) solution corresponding to the selected waves. It is shown that sources of traveling waves exhibit long wavelength instability, whereas sinks remain stable. An analogy with the Kelvin-Helmholtz instability is established.

Original languageEnglish (US)
Pages (from-to)3273-3276
Number of pages4
JournalPhysical review letters
Issue number18
StatePublished - 1995

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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