Modeling ternary mixtures by mean-field theory of polyelectrolytes: Coupled Ginzburg-Landau and Swift-Hohenberg equations

► The purpose is the model construction for pattern formation in theory of polyelectrolytes by mean-field approximations. ► The coupling of time-dependent Ginzburg-Landau equation and Swift-Hohenberg equations is studied. ► The dynamics model show a large diversity of patterns that explain the behavior in some biology systems. ► This presents different growth lengths in the spatial structures. ► The morphology of the obtained patterns with this model, is another way of investigation nonlinear extended dynamic systems.