TL;DR: In this paper, the energy balance equation for inhomogeneous time-harmonic waves propagating in a linear anisotropic-viscoelastic medium whose constitutive equation is described by a general time-dependent relaxation matrix of 21 independent components is analyzed.

TL;DR: In this paper, the exact equations for surface waves over an uneven bottom can be formulated as a Hamiltonian system, with the total energy of the fluid as Hamiltonian, and the surface elevation is described by a forced KdV-type of equation.

TL;DR: In this article, the authors considered the case of forced vibrations and acoustic radiation of an elastic layer lying on a liquid half-space and obtained simple approximate formulas for the long-wave component of vibrations and for the radiation power jumps.

TL;DR: In this paper, the spectral theory of transients (STT) is applied to the problem of complex source PB scattering at a planar interface separating two homogeneous half spaces.

TL;DR: A simple asymptotic analysis, based on the smallness of the ratio of the borehole radius to the wavelength, reveals the interaction between tube waves and seismic waves and leads to a characterization of these sources in terms of the solutions to one-dimensional acoustic and two-dimensional elastostatic problems as mentioned in this paper.

TL;DR: In this paper, the wave propagation method for the Timoshenko beam with dissipative conditions was developed and asymptotic estimates for the eigenfrequencies were obtained for the vibration of the beam with two velocities for displacement and angular rotation variables.

TL;DR: In this paper, the exact radar cross section of a semi-infinite elliptic cone was derived by solving a two-parameter eigenvalue problem with two coupled Lame differential equations.

TL;DR: In this article, an efficient pseudospectral method is applied for the numerical solution of the weakly nonlinear Benjamin-Ono equation for arbitrary initial conditions, and the general solution at large time evolves into an ordered pattern of Lorentzian solitons and a dispersive train moving in opposite directions.

TL;DR: In this paper, a point source over a dissipative stratified half-space with a discontinuity for both the phase velocity and the dissipation coefficient at the surface is considered, and the axial symmetry of the problem is exploited in a spatial Hankel transform.

TL;DR: In this paper, a model of sound propagation through layers of these media by transfer matrices, which is equivalent to a representation by analogous multi-port circuits was performed, and it was proven that the transmission loss through strafied materials in contact with the same fluid on the and the rear face is the same in opposite directions of propagation.

TL;DR: In this article, an alternative methodology different from the conventional superposition method is used to construct the reflected and diffracted fields, which is shown that the transient solution will approach the static value after the diffracted wave has passed.

TL;DR: In this article, the authors compare the phase mixing approximation with an exact solution of the same model problem and show that the latter is correct for the magnetic field perturbation, but not for the velocity perturbations.

TL;DR: In this paper, an alternative model-mode conversion from extensional waves to bending waves is proposed, analyzes both as an eigenvalue problem and a transient finite-difference problem.

TL;DR: In this paper, the authors investigated the axisymmetric radiation of sound waves from two semi-infinite circular cylinders with a common axis, measured by the Cartesian variable z, but the smaller cylinder extends to infinity in the direction z → -∞ whilst the larger cylinder extends in the directions z → ∞.

TL;DR: In this paper, the existence of subsonic second slip waves was investigated using the Stroh sextic formalism, where the second slip wave propagates along an interface between two identical half-infinite anisotropic media which have the same orientation.

TL;DR: In this paper, the authors extended the mean waveform method to nonlinear problems and developed a systematic approach which enables the construction of an approximate deterministic evolution equation for a given quasi-hyperbolic and quasi-linear system of equations with weak nonlinearity and stationary random coefficients.

TL;DR: In this paper, the authors attempt to unravel the maze of solutions which occur in the capillary-gravity wave problem by following two-parameter paths of turning and bifurcation points which originate at the trivial solution at points of mode interaction.

TL;DR: In this paper, the edge currents for the Physical Optics (PO) contribution to the edge diffraction were derived by choosing a proper coordinate system for a half plane, and these expressions for the PO component are free from singularities except at shadow and reflection boundaries on the Keller Cone.

TL;DR: In this article, the acoustic scattering of a plane wave by an array of identical parallel thin plates is considered for the case kd, where kd is the number of parallel plates.

TL;DR: In this paper, an approximate description of three-dimensional wave propagation in a non-uniform dielectric layer was obtained by using a series in powers of the smoothness parameter v = B / L ⪡ 1.

TL;DR: In this paper, the scattering of a train of small-amplitude harmonic surface waves on water by one-dimensional topography, using the mild-slope equation, is examined.

TL;DR: In this paper, it was shown that the wave behavior depends on two constants and does not depend on a nonlinearity form in detail, and the formulae for the normal velocity of the front is found to contain the mean curvature and the two constants.

TL;DR: In this article, a class of one-dimensional reflection problems for the scalar case of obliquely incident horizontally polarized shear waves travelling in a transversely isotropic solid is studied.

TL;DR: In this article, it is shown that it is possible to choose from among all plane waves of fixed energy and maximum duration a signal which maximizes joule heating in any preselected portion of the dielectric slab.

TL;DR: In this paper, the shape of a cavity in linear elasticity is reconstructed by using the Rayleigh expansion of the scattering amplitudes, and a Tikhonov regularization scheme is presented to deal with measurement errors.

TL;DR: Inverse scattering (electromegnetic) problems related to cylindrical bodies with arbitrary cross-section were extensively investigated in the literature by assuming that the orientation of the body is known beforehand This knowledge permits one to formulate the problem as a two-dimensional scalar problem as mentioned in this paper.

TL;DR: In this article, the effect of short-wave diffraction on the free surface of a ship is considered and a theory is described by which the effects of short wave diffraction may be incorporated.

TL;DR: In this article, the authors derive the Green's function and its derivatives in a different way using the Weyl representation and some elementary ideas from complex variables and distribution theory, which are useful for formulating scattering integral equations in Fourier transform space.