Results 51 to 60 of about 2,627,124 (242)

On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems

Journal of Scientific Computing, 2021
This paper is on arbitrary high order fully discrete one-step ADER discontinuous Galerkin schemes with subcell finite volume limiters applied to a new class of first order hyperbolic reformulations of nonlinear dispersive systems based on an extended ...
S. Busto, M. Dumbser, C. Escalante, N. Favrie, S. Gavrilyuk   +4 more
semanticscholar   +1 more source

Solutions of nonlinear hyperbolic equations at resonance [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 1982
Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/24134/1/0000391 ...
Cesari, Lamberto, Kannan, R.
openaire   +3 more sources

Linear and Nonlinear Perturbed Wave Equations [PDF]

, 2008
We consider several Cauchy problems for the wave equation with some perturbation. First of all, we consider the wave equation with a metric perturbation, that is, we consider the d'Alembert operator in the Schwarzschild metric (which is a model for a ...
CATANIA, DAVIDE
core   +1 more source

Applications of extended F-expansion and projective Ricatti equation methods to (2+1)-dimensional soliton equations

AIP Advances, 2013
The (2+1)-dimensional Maccari and nonlinear Schrödinger equations are reduced to a nonlinear ordinary differential equation (ODE) by using a simple transformation, various solutions of the nonlinear ODE are obtained by using extended F-expansion and ...
Hitender Kumar, Fakir Chand
doaj   +1 more source

The Extended Direct Algebraic Method for Extracting Analytical Solitons Solutions to the Cubic Nonlinear Schrödinger Equation Involving Beta Derivatives in Space and Time

Fractal and Fractional, 2023
In the field of nonlinear optics, quantum mechanics, condensed matter physics, and wave propagation in rigid and other nonlinear instability phenomena, the nonlinear Schrödinger equation has significant applications.
Farhana Tasnim, M. Akbar, M. Osman
semanticscholar   +1 more source

Exact and Fast Numerical Algorithms for the Stochastic Wave Equation [PDF]

, 2003
On the basis of integral representations we propose fast numerical methods to solve the Cauchy problem for the stochastic wave equation without boundaries and with the Dirichlet boundary conditions.
Martin, A., Prigarin, Sergej M., Winkler, Gerhard, Sergei M. Prigarin, Winkler, G., Martin, Andreas, Prigarin, S.M., Prigarin, Sergej, Andreas Martin, Gerhard Winkler   +9 more
core   +1 more source

The classical solvability for a one-dimensional nonlinear thermoelasticity system with the far field degeneracy

Advanced Nonlinear Studies
We study the local classical solvability of the Cauchy problem to the equations of one-dimensional nonlinear thermoelasticity. The governing model is a coupled system of a nonlinear hyperbolic equation for the displacement and a parabolic equation for ...
Hu Yanbo, Sugiyama Yuusuke
doaj   +1 more source

An Efficient Numerical Approach for Solving Nonlinear Coupled Hyperbolic Partial Differential Equations with Nonlocal Conditions

Abstract and Applied Analysis, 2014
One of the most important advantages of collocation method is the possibility of dealing with nonlinear partial differential equations (PDEs) as well as PDEs with variable coefficients.
A. H. Bhrawy, M. A. Alghamdi, Eman S. Alaidarous   +2 more
doaj   +1 more source

Lagrangian Averaging, Nonlinear Waves, and Shock Regularization [PDF]

, 2005
In this thesis, we explore various models for the flow of a compressible fluid as well as model equations for shock formation, one of the main features of compressible fluid flows.
Bhat, Harish Subrahmanya
core   +1 more source

Multiscale expansion and integrability properties of the lattice potential KdV equation [PDF]

, 2008
We apply the discrete multiscale expansion to the Lax pair and to the first few symmetries of the lattice potential Korteweg-de Vries equation. From these calculations we show that, like the lowest order secularity conditions give a nonlinear Schrödinger
Decio Levi, Petrera, Matteo, Matteo Petrera, Scimiterna, Christian, Heredero RH, Petrera M, Levi, Decio, Rafael Hernandez Heredero, Scimiterna C., Hernández Heredero, Rafael, Christian Scimiterna   +10 more
core   +1 more source