Results 31 to 40 of about 1,087,074 (217)
This work obtains the disguise version of exact solitary wave solutions of the generalized (2+1)-dimensional Zakharov-Kuznetsov–Benjamin-Bona-Mahony and the regularized long wave equation with some free parameters via modified simple equation method (MSE)
Harun-Or Roshid +3 more
doaj +1 more source
Well-posedness of one-way wave equations and absorbing boundary conditions [PDF]
A one-way wave equation is a partial differential equation which, in some approximate sense, behaves like the wave equation in one direction but permits no propagation in the opposite one. Such equations are used in geophysics, in underwater acoustics, and as numerical "absorbing boundary conditions".
Trefethen, Lloyd N., Halpern, Laurence
openaire +1 more source
Exact quantum states of a general time-dependent quadratic system from classical action
A generalization of driven harmonic oscillator with time-dependent mass and frequency, by adding total time-derivative terms to the Lagrangian, is considered.
A. Mostafazadeh +25 more
core +1 more source
On the asymptotic spatial behaviour of the solutions of the nerve system [PDF]
In this paper we investigate the asymptotic spatial behavior of the solutions for several models for the nerve fibers. First, our analysis deals with the coupling of two parabolic equations. We prove that, under suitable assumptions on the coefficients
Leseduarte Milán, María Carme +1 more
core +2 more sources
Amplitude-Preserved Wave Equation: An Example to Image the Gas Hydrate System
Natural gas hydrate is an important energy source. Therefore, it is extremely important to provide a clear imaging profile to determine its distribution for energy exploration. In view of the problems existing in conventional migration methods, e.g., the
Jiachun You +4 more
doaj +1 more source
Derivation of a one-way radiative transfer equation in random media
We derive from first principles a one-way radiative transfer equation for the wave intensity resolved over directions (Wigner transform of the wave field) in random media.
Borcea, Liliana, Garnier, Josselin
core +3 more sources
On an efficient approach to solutions of a perturbed nonlinear Schrödinger’s equation
The main objective of this paper is to retrieve the analytical solutions for a perturbed nonlinear Schrödinger’s equation. These achievements are obtained by following the basic steps of an efficient approach.
Kamsing Nonlaopon +4 more
doaj +1 more source
Representation of Dissipative Solutions to a Nonlinear Variational Wave Equation [PDF]
The paper introduces a new way to construct dissipative solutions to a second order variational wave equation. By a variable transformation, from the nonlinear PDE one obtains a semilinear hyperbolic system with sources. In contrast with the conservative
Bressan, Alberto, Huang, Tao
core
Perturbations of Schwarzschild-Droste black holes in the Regge-Wheeler gauge benefit from the availability of a wave equation and from the gauge invariance of the wave function, but lack smoothness.
Aoudia, Sofiane +1 more
core +3 more sources
Constraint and gauge shocks in one-dimensional numerical relativity [PDF]
We study how different types of blow-ups can occur in systems of hyperbolic evolution equations of the type found in general relativity. In particular, we discuss two independent criteria that can be used to determine when such blow-ups can be expected ...
B. Gustafsson +22 more
core +3 more sources

