Dynamics of defects in parametrically excited capillary ripples

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Abstract
Investigations of parametrically excited capillary ripples—a perfect structure consisting of two mutually orthogonal pairs of standing waves—reveal that two topological defects of the same sign belonging to the waves, traveling in opposite directions in one pair, may form a stable bound state. Individual dislocations in the form of such bound states may interact with each other, the interaction being the most effective if they consist of defects belonging to one pair. It is shown that the dislocations may either annihilate, if they have opposite topological charges, or are arranged into quasistable states in the form of a linear chain, in the case of like topological charges.