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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.
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Add Group properties of the acoustic differential equation, This text is an addition to the existing literature about the symmetrical properties of sound waves. The authors clarify the algebraic and analytical nature of the dynamic acoustic problem. Operator equations which are typical for linear systems and the m, Group properties of the acoustic differential equation to the inventory that you are selling on WonderClubX
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Add Group properties of the acoustic differential equation, This text is an addition to the existing literature about the symmetrical properties of sound waves. The authors clarify the algebraic and analytical nature of the dynamic acoustic problem. Operator equations which are typical for linear systems and the m, Group properties of the acoustic differential equation to your collection on WonderClub |