Group classification of a nonlinear sound wave model

Details Group classification of a nonlinear sound wave model Group classification of a nonlinear sound wave model

2008-06-26

arxiv.org/abs/0806.4359v1

Mathematics

Analysis of PDEs

10 pages

Scientific paper

Based on a recent classification of subalgebras of the symmetry algebra of
the Zabolotskaya-Khokhlov equation, all similarity reductions of this equation
into ordinary differential equations are obtained. Large classes of group
invariant solutions of the equation are also determined, and some properties of
these solutions are discussed.

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