Symmetries, Invariant Solutions and Conservation Laws of the Nonlinear Acoustics Equation

N. O. Sharomet
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N. O. Sharomet: Moscow State University, Department of Mathematics and Mechanics

A chapter in Symmetries of Partial Differential Equations, 1989, pp 83-120 from Springer

Abstract: Abstract The symmetry algebra of the Khoklov-Zabolotskaya equation is found, n- and (n - 1)-dimensional subalgebras L are classified (n is an independent variable number) and L-invariant solutions described. Conservation laws and conserved flows are also found.

Keywords: Differential equation; symmetry algebra; invariant solution; conservation law; conserved flow; Lie transformation (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-94-009-1948-8_4

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