Localized travelling-wave trains are investigated as they arise in binary-mixture convection. For free-slip-permeable boundary conditions a complex Ginzburg-Landau equation is derived which is coupled to a mean concentration field. This takes the slow mass diffusion into account. Numerical simulations show that in equations of that form the additional concentration field can lead to a substantial reduction of the drift velocity of localized wave trains. Moreover, localized waves can be stable even if all the coefficients of the Ginzburg-Landau equation are real and even if the bifurcation to extended waves is supercritical.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics