Results 21 to 30 of about 99,243 (193)

Exact traveling wave solutions for nonlinear PDEs in mathematical physics using the generalized Kudryashov method [PDF]

Serbian Journal of Electrical Engineering, 2016
The generalized Kudryashov method is applied in this article for finding the exact solutions of nonlinear partial differential equations (PDEs) in mathematical physics. Solitons and other solutions are given.
Zayed El-Sayed Mohamed El-Sayed, Al-Nowehy Abdul-Ghani   +1 more
doaj   +1 more source

Discrete adjoint approximations with shocks [PDF]

, 2002
This paper is concerned with the formulation and discretisation of adjoint equations when there are shocks in the underlying solution to the original nonlinear hyperbolic p.d.e. For the model problem of a scalar unsteady one-dimensional p.d.e.
DR Lindquist, E Tadmor, F Bouchut, KC Hall, MB Giles, NA Pierce   +5 more
core   +4 more sources

A comparative study for the numerical approximation of 1D and 2D hyperbolic telegraph equations with UAT and UAH tension B-spline DQM

Nonlinear Engineering, 2023
Two numerical regimes for the one- and two-dimensional hyperbolic telegraph equations are contrasted in this article. The first implemented regime is uniform algebraic trigonometric tension B-spline DQM, while the second implemented regime is uniform ...
Kapoor Mamta
doaj   +1 more source

Classes of new exact solutions for nonlinear Schrödinger equations with variable coefficients arising in optical fiber

Results in Physics, 2019
In this paper, a new modified direct similarity reduction method is considered to find new classes of Jacobi, hyperbolic and periodic wave solutions for both (1 + 1)-dimensional and (2 + 1)-dimensional nonlinear variable coefficients Schrödinger ...
Rehab M. El-Shiekh
doaj   +1 more source

Forced hyperbolic mean curvature flow [PDF]

, 2012
In this paper, we investigate two hyperbolic flows obtained by adding forcing terms in direction of the position vector to the hyperbolic mean curvature flows in \cite{klw,hdl}.
Mao, Jing
core   +1 more source

Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrödinger Equations with Variable Coefficients

Advances in Mathematical Physics, 2021
In this paper, the dynamical properties and the classification of single traveling wave solutions of the coupled nonlinear Schrödinger equations with variable coefficients are investigated by utilizing the bifurcation theory and the complete ...
Zhao Li, Peng Li, Tianyong Han
doaj   +1 more source

The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation

Results in Physics
Due to the importance of the nonlinear partial differential equations in applied physics and engineering, many mathematicians and physicists are interesting to the nonlinear partial differential equations.
Jianping Li, Can Xu, Junliang Lu
doaj   +1 more source

Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions [PDF]

, 2018
In this article we provide a local wellposedness theory for quasilinear Maxwell equations with absorbing boundary conditions in $\mathcal{H}^m$ for $m \geq 3$.
Schnaubelt, Roland, Spitz, Martin
core   +3 more sources

Nonpoint Symmetry and Reduction of Nonlinear Evolution and Wave Type Equations

Abstract and Applied Analysis, 2015
We study the symmetry reduction of nonlinear partial differential equations with two independent variables. We propose new ansätze reducing nonlinear evolution equations to system of ordinary differential equations.
Ivan Tsyfra, Tomasz Czyżycki
doaj   +1 more source

Nonexistence of global solutions to system of semi-linear fractional evolution equations

Universal Journal of Mathematics and Applications, 2018
In this research we are interested to Cauchy problem for system of semi-linear fractional evolution equations. Some authors were concerned with studying of global existence of solutions for the hyperbolic nonlinear equations with a damping term. Our goal
Ali Hakem, Medjahed Djilali
doaj   +1 more source