6533b7d8fe1ef96bd126a20a

RESEARCH PRODUCT

Dynamics of phase domains in the Swift-Hohenberg equation

Víctor J. Sánchez-morcilloKestutis Staliunas

subject

Swift–Hohenberg equationPhysicsNonlinear opticalClassical mechanicsDynamics (mechanics)Phase (waves)General Physics and AstronomyNonlinear Sciences::Pattern Formation and Solitons

description

Abstract We analyze analytically and numerically the dynamics of phase domains in the Swift-Hohenberg equation. For negative or small positive detuning domains contract and disappear. A large positive detuning leads to dendritic growth of the domains, and the formation of labyrinth structures. Intermediate detuning results in stable circular domains - the localized structures of the Swift-Hohenberg equation. The predicted phenomena should occur in parametrically driven chemical, hydrodynamical, and nonlinear optical systems.

https://doi.org/10.1016/s0375-9601(98)00084-x