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

Abstract

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

9 pages, 5 figs

References in corpus (1)

• BLP dissipative structures in plane

Cited by in corpus (2)

• Vortices, circumfluence, symmetry groups and Darboux transformations of the (2+1)-dimensional Euler equation
• Extensions of the symmetry algebra and Lax representations for the two-dimensional Euler equation