Group-invariant solutions of a nonlinear acoustics model
Analysis of PDEs
2015-03-23 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0806.4359,
title = {Group-invariant solutions of a nonlinear acoustics model},
author = {J. C. Ndogmo},
journal= {arXiv preprint arXiv:0806.4359},
year = {2015}
}
Comments
14 pages