Structure of nonlinear traveling-wave states in finite geometries

Creators: Cross, M. C.

Abstract

Numerical simulation of coupled amplitude equations is used to investigate the effect of the wave propagation on the one-dimensional spatial structure of nonlinear wave states in finite geometries. The work is motivated by experiments on oscillatory convection in binary fluid convection. Predictions of confined states, temporally modulated confined states, and other dynamic states are discussed and compared with experiment.

Additional Information

©1988 The American Physical Society Received 9 November 1987 Note added in proof. Since the submission of this paper, oscillating states similar to the ones predicted Sect. IV B have been described by Fineberg, Moses and Steinberg [20] and Kolodner and surko [21]. Also Croquette and Williams [22] have observed the transition from a symmetric stationary state to an asymmetric stationary state similar to the one shown in the lower two panels of Fig. 7 near the transition to the oscillatory instability for straight rolls in pure fluid convection.

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