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Group Properties Of The Acoustic Differential Equation

Author: L V Poluyanov; A Aguilar; M Gonzalez
Publisher: London : Taylor & Francis, 2014.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: L V Poluyanov; A Aguilar; M Gonzalez
ISBN: 9781482272659 1482272652
OCLC Number: 1035213313
Description: 1 online resource.
Contents: 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.
Responsibility: Leonid V. Poluyanov, Antonio Aguilar and Miguel González.

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