Results 31 to 40 of about 1,385,566 (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

Evolution of non-stationary pulses in a cold magnetized quark-gluon plasma

, 2019
We study weakly nonlinear wave perturbations propagating in a cold nonrelativistic and magnetized ideal quark-gluon plasma. We show that such perturbations can be described by the Ostrovsky equation.
Fariello, R., Fogaça, D. A., Navarra, F. S., Stepanyants, Y. A.   +3 more
core   +1 more source

The fundamental solution of the unidirectional pulse propagation equation

, 2014
The fundamental solution of a variant of the three-dimensional wave equation known as "unidirectional pulse propagation equation" (UPPE) and its paraxial approximation is obtained.
Brabec T., I. Babushkin, Jackson J. D., L. Bergé, Marr G., Vladimirov V. S.   +5 more
core   +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
doaj   +1 more source

Travelling waves and conservation laws for highly nonlinear wave equations modelling Hertz chains

, 2017
A highly nonlinear, fourth-order wave equation that models the continuum theory of long wavelength pulses in weakly compressed, discrete, homogeneous chains with a general power-law contact interaction is studied.
Anco, Stephen C., Przedborski, Michelle
core   +1 more source

Solitons of Wave Equation

Journal of Nonlinear Mathematical Physics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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
doaj   +1 more source

Higher-order corrections to the short-pulse equation

, 2012
Using renormalization group techniques, we derive an extended short- pulse equation as approximation to a nonlinear wave equation. We investigate the new equation numerically and show that the new equation captures efficiently higher- order effects on ...
Agrawal G P, Chung Y, Costanzino N, Erbas K, Kurt L, Levent Kurt, Sakovich A, Sakovich A, Sulem C, Tobias Schäfer, Weiner A M, Yeojin Chung, Zakharov V E   +12 more
core   +1 more source

Numerical study on the generation and evolution of the super-rogue waves

Journal of Ocean Engineering and Science, 2016
The super-rogue wave solutions of the nonlinear Schrödinger equation (NLS) are numerically studied based on the weakly nonlinear hydrodynamic equation. The super-rogue wave solutions up to the 5th order, also known as the so-called super-rogue waves, are
Jianmin Yang, Wenyue Lu
doaj   +1 more source