The vortex-like solutions are studied within the framework of the gauge model of disclinations in an elastic continuum. A complete set of model equations with disclination-driven dislocations taken into account is considered. Within the linear approximation an exact solution for a low-angle wedge disclination is found to be independent of the coupling constants of the theory. As a result, no additional dimensional characteristics (such as the core radius of the defect) are involved. The situation changes drastically for 2vortices, where two characteristic lengths,landlW, become of importance. The asymptotic behaviour of the solutions for both singular and non-singular 2vortices is studied. Forces between pairs of vortices are calculated.
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