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- W371928854 abstract "Part 1 Symmetry of the Main Equation: Symmetry operators of acoustic equations Main operator equation Non-homogeneous media with different symmetries Non-homogeneous media with rotational symmetry Lie algebra of infinitesimal operators for homogeneous media. Part 2 Separation of Variables - Exact solutions: General principles of the separation of variables in linear differential equations Non-homogeneous media with translational symmetry Non-homogeneous media with spherical and dilational symmetry Use of group properties of acoustic equations to produce new solutions for homogeneous media. Part 3 Short-wave Approximation: Dimensionless form of the main equation Acoustic trajectories are characteristic of phase acoustic equations Contact symmetry of the phase equation Separation of variables Construction of Short-Wave Asymptotical Solutions. Part 4 Momentum Representation In Acoustics: Integral transformation of the main equation Lie symmetry of the acoustic equation for linear media Operator symmetry of the acoustic equation for quadratic media." @default.
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- W371928854 date "1995-05-24" @default.
- W371928854 modified "2023-09-27" @default.
- W371928854 title "Group Properties Of The Acoustic Differential Equation" @default.
- W371928854 doi "https://doi.org/10.1201/9781482272659" @default.
- W371928854 hasPublicationYear "1995" @default.
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