Results 31 to 40 of about 236,123 (310)

On the generalized Jacobi equation. [PDF]

, 2008
The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities.
Perlick V, Perlick, Volker
core   +1 more source

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

, 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
Cao, J., Deng, Xijun, Cao, Jinlong, Parkes, E.J., Deng, X.   +4 more
core   +1 more source

On the Stability of Wave Equation [PDF]

Abstract and Applied Analysis, 2013
We prove the generalized Hyers-Ulam stability of the wave equation,Δu=(1/c2)utt, in a class of twice continuously differentiable functions under some conditions.
openaire   +3 more sources

Some periodic and solitary travelling-wave solutions of the short pulse equation

, 2008
Exact periodic and solitary travelling-wave solutions of the short pulse equation are ...
Parkes, E.J.
core   +1 more source

Propagator and wave-equation inversion for near-receiver material properties [PDF]

, 2004
Near-receiver material properties are required for the separation of the recorded wavefield into upgoing and downgoing P and S waves, and are also important for static time-shift corrections.
Trampert, J., Curtis, A.; id_orcid, van Vossen, R.   +2 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

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

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