Results 31 to 40 of about 1,328,295 (326)

The Wave Equation for a Moving Source and a Moving Receiver

Mathematics
The ordinary 3D wave equation for nondissipative, homogeneous, isotropic media admits solutions where the point sources are permitted to move, but as shown in this paper, it does not admit solutions where the receiver is allowed to move. To overcome this
Hrvoje Dodig
doaj   +1 more source

Exact Solutions for a New Nonlinear KdV-Like Wave Equation Using Simplest Equation Method and Its Variants

Journal of Applied Mathematics, 2014
The simplest equation method presents wide applicability to the handling of nonlinear wave equations. In this paper, we focus on the exact solution of a new nonlinear KdV-like wave equation by means of the simplest equation method, the modified simplest ...
Yinghui He, Yun-Mei Zhao, Yao Long
doaj   +1 more source

Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions

Boundary Value Problems, 2021
Under the acoustic boundary conditions, the initial boundary value problem of a wave equation with multiple nonlinear source terms is considered. This paper gives the energy functional of regular solutions for the wave equation and proves the decreasing ...
Shoubo Jin, Jian Li
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On elliptic solutions of the cubic complex one-dimensional Ginzburg-Landau equation

, 2005
The cubic complex one-dimensional Ginzburg-Landau equation is considered. Using the Hone's method, based on the use of the Laurent-series solutions and the residue theorem, we have proved that this equation has neither elliptic standing wave nor elliptic
A. N. W. Hone, E. Fan, E. I. Timoshkova, E. I. Timoshkova, F. Cariello, G. P. Agrawal, G. S. Santos, I. Aranson, K. Nozaki, L. A. Takhtadzhyan, L. Brusch, M. C. Cross, M. Hecke van, M. Hecke van, M. J. Ablowitz, M. Musette, N. A. Kudryashov, N. A. Kudryashov, N. N. Akhmediev, P. Painleve, R. Conte, R. Conte, R. Conte, S. Yu. Vernov, S. Yu. Vernov, S. Yu. Vernov, V. A. Vladimirov, V. L. Ginzburg, W. Saarloos van   +28 more
core   +3 more sources

New non-traveling wave solutions for (3+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation

AIMS Mathematics, 2021
In this paper, we investigate non-traveling wave solutions of the (3+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa (VC-DJKM) equation, which describes the real physical phenomena owing to the inhomogeneities of media.
Yuanqing Xu, Xiaoxiao Zheng, Jie Xin
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Propagation Speed of the Maximum of the Fundamental Solution to the Fractional Diffusion-Wave Equation

, 2013
In this paper, the one-dimensional time-fractional diffusion-wave equation with the fractional derivative of order $1 \le \alpha \le 2$ is revisited. This equation interpolates between the diffusion and the wave equations that behave quite differently ...
Buckwar, Chen, Chen, Chernin, Francesco Mainardi, Fujita, Gorenflo, Gorenflo, Gorenflo, Gorenflo, Kochubei, Kochubei, Kreis, Liang, Luchko, Luchko, Luchko, Mainardi, Mainardi, Mainardi, Mainardi, Mainardi, Mainardi, Mainardi, Mainardi, Nolan, Näsholm, Pipkin, Podlubny, Povstenko, Prüss, Schneider, Wyss, Yuri Luchko, Yuriy Povstenko   +34 more
core   +1 more source

Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]

, 2010
An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Biswas, Boyd, Byrd, E.J. Parkes, Jinlong Cao, Lenells, Lenells, Li, Parkes, Parkes, Rosenau, Rosenau, Stepanyants, Vakhnenko, Wazwaz, Xijun Deng, Xu, Zhang, Zhou   +18 more
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Generalizations of the wave equation [PDF]

Transactions of the American Mathematical Society, 1993
The main result of this paper is a generalization of the property that, for smooth u u , u x y = 0 {u_{xy}} = 0 implies ( ∗ ) (\ast ) \[ u ( x
Dan Rinne, J. Marshall Ash, Jonathan Cohen, Chris Freiling   +3 more
openaire   +2 more sources

The Bäcklund Transformations and Abundant Exact Explicit Solutions for a General Nonintegrable Nonlinear Convection-Diffusion Equation

Abstract and Applied Analysis, 2012
The Bäcklund transformations and abundant exact explicit solutions for a class of nonlinear wave equation are obtained by the extended homogeneous balance method.
Yong Huang, Yadong Shang
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Calculating Water Wavelength Using Dispersion Relation and Approximation

Undergraduate Journal of Mathematical Modeling: One + Two, 2019
The dispersion relation equation is used to directly compute wave number and wave length to compliment water wave pressure sensor readings. Waves are measured to help coastal engineering to better mitigate coastal infrastructures.
Chantelle Lee
doaj   +1 more source