Group-invariant solutions of a nonlinear acoustics model
classification
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math-phmath.MP
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equationsolutionsequationsgroup-invariantacousticsalgebraclassesclassification
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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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