Abstract
The condition for stationary configurations of point vortices (or screw dislocations, line charges, etc.) having arbitrary strengths embedded in an external flow field is expressed as a differential equation for functions whose zeros are the vortex positions. For vortices of unit strength but mixed sign the stationary states are closely related to both the rational and the N-soliton solutions of the Korteweg--de Vries equation. Examples are given for no external flow, uniform flow, and quadrupole flow.
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