Abstract
We continue the study of the one-dimensional model for the vorticity equation considered in [4]. The partial differential equation σ yt + σσ xy = σ x σ y + vσ yxx is deduced, which appears as a generalization of the Burgers' equation, with possibly some connection also to the K dV equation. Some properties of this equation are given and propagating solutions are found which are of soliton type, both with non-compact and compact support.
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