True amplitude one-way wave equations provide full waveform solutions that agree with leading order WKBJ solutions of the full, two-way wave equation away from caustics and other anomalies of the ray field. Both a proof of this fact and numerical examples are available in the literature. Near smooth caustics, ray-theoretic solutions fail for both the one-way and two-way wave equations; the WKBJ...

We solve the Cauchy problem for the n-dimensional wave equation, where n is an odd integer, using elementary properties of the Fourier transform. We also show that the solution can be obtained by invoking Bessel functions. The wave equation has a rich history fraught with controversy, both mathematical, see [9], and physical, see [16]. It all started in 1747 when d’Alembert, in a memoir present...

In this paper, the direct Ansäz method is used for constructing the multi-wave solutions to the (2+1)-dimensional extension of the Korteweg de-Vries (shortly EKdV) equation. A new breather type of three-wave solutions including periodic breather type soliton solution, breather type of two-solitary solution are obtained. Some cases with specific values of the involved parameters are plotted for ...

In the following paper we will consider Navier-Stokes problem and it's interpretation by hyperbolic waves, focusing on wave propagation. We will begin with solution for linear waves, then present problem for non-linear waves. Later we will derive for numerical solution using PDE's. Also we will design a Matlab program to solve and simulate wave propagation. Keywords1: Navier-Stokes equations, F...

We present novel overlapping finite elements used with the Bathe time integration method to solve transient wave propagation problems. The solution scheme shows two important properties that have been difficult to achieve in the numerical solution of general wave propagations: monotonic convergence of calculated solutions with decreasing time step size and a solution accuracy almost independent...

X iv :q ua nt -p h/ 03 01 17 6v 1 3 1 Ja n 20 03 A projection operator technique for solution of relativistic wave equation on non-compact group: the case of a charged vector-boson Halina V. Grushevskaya and Leonid I. Gurskii 1 Physics Department, Belarusian State University, 4 Fr. Skorina Av., 220050 Minsk, Belarus 2 Belarusian State University of Informatics and Radio electronics, 6 P. Brovka...

evanescent wave spectroscopy using thin optically transparent electrodes and multiple reflections allows unique observations of the electrochemical interphase since the region of solution sampled is typically 100 nm from the electrode in the visible spectral region. this technique is found to be highly sensitive to the presence of absorbing adsorbed species

in this paper, we have studied on the solutions of modied kdv equation andalso on the stability of them. we use the tanh method for this investigationand given solutions are good-behavior. the solution is shock wave and can beused in the physical investigations

When the surface impedance of the earth along the propagation direction changes abruptly, the ground wave is strongly affected as it occurs when the radio wave traverses a coastline from the land to the sea [1]-[8]. In this study, we shall obtain the integral representation for the ground wave propagation over the land-to-sea mixed-path by applying the aperture field method. Then by applying th...