Reductive Perturbation Method for Nonlinear Wave Propagation in Inhomogeneous Media. II
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概要
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A perturbation method to deal with non-linear waves propagating in a slightly inhomogeneous medium is applied to the physical problems: (1) the sound wave propagating in a duct whose cross-sectional area changes slowly along its length; as special cases, the spherical and the cylindrical waves at large distances from the origin are included. (2) the sound wave propagating through a stratified layer. (3) the hydromagnetic wave across a non-uniform magnetic field; in this case the inhomogeneity is caused by the equiliburium state where the mechanical pressure is in balance with the magnetic one. All these examples are concerned with the case in which a simple wave solution is realized if the medium is homogeneous and characteristics are obtained from those in the homogeneous medium by a local transformation of the coordinate. This transformation shows explicitly that under certain conditions the waves grow due to the inhomogeneities and promote shock formation.
- 社団法人日本物理学会の論文
- 1970-07-05
著者
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Taniuti Tosiya
Department Of Engineering Natural Science-mathematics Chubu University
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Asano Naruyoshi
Department Of Engineering Mathematics Faculty Of Engineering Utsunomiya University
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