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We propose a simple algebraic method for constructing exact solutions ofequations of two-dimensional hydrodynamics of an incompressible fluid. Theproblem reduces to consecutively solving three linear partial differentialequations for a nonviscous fluid and to solving three linear partialdifferential equations and one first-order ordinary differential equation for aviscous fluid.

One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid