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arXiv · 0806.4359

Group-invariant solutions of a nonlinear acoustics model

J. C. Ndogmo
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Abstract

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 the reduced equations and exact solutions are discussed.

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J. C. Ndogmo. 2008-06-26. Group-invariant solutions of a nonlinear acoustics model. https://doi.org/10.1088/1751-8113/41/48/485201

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