New solutions of the wave equation by reduction to the heat equation

  • P. BASARAB-HORWATH
  • Published 2004

Abstract

The symmetries can be used to build ansatzes for exact solutions of (1), which then reduce the equation to a partial differential equation with fewer independent variables or even to an ordinary differential equation [1, 2]. These ansatzes and reductions are based on a subalgebra analysis of parts of the symmetry algebra. The reduced equations do not always… (More)

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