Results 21 to 30 of about 88,404 (171)

$C_0$-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain [PDF]

, 2014
Hyperbolic partial differential equations on a one-dimensional spatial domain are studied. This class of systems includes models of beams and waves as well as the transport equation and networks of non-homogeneous transmission lines.
Jacob, Birgit, Morris, Kirsten, Zwart, Hans   +2 more
core   +2 more sources

Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations

Journal of Applied Mathematics, 2012
With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way.
Zeid I. A. Al-Muhiameed, Emad A.-B. Abdel-Salam   +1 more
doaj   +1 more source

A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations

Advances in Difference Equations, 2017
In this paper, we propose a new three-level implicit method based on a half-step spline in compression method of order two in time and order four in space for the solution of one-space dimensional quasi-linear hyperbolic partial differential equation of ...
RK Mohanty, Gunjan Khurana
doaj   +1 more source

The remarkable effectiveness of time-dependent damping terms for second order evolution equations [PDF]

, 2015
We consider a second order linear evolution equation with a dissipative term multiplied by a time-dependent coefficient. Our aim is to design the coefficient in such a way that all solutions decay in time as fast as possible.
Ghisi, Marina, Gobbino, Massimo, Haraux, Alain   +2 more
core   +4 more sources

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

Front motion for phase transitions in systems with memory

, 2000
We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici, Alexander I. Domoshnitsky, Alexander Nepomnyashchy, Binder, Caginalp, Caginalp, Caginalp, Caginalp, Cahn, Fife, Horacio G. Rotstein, Jäckle, Jäckle, Jäckle, Jäckle, Neu, Rotstein, Rubinstein   +17 more
core   +1 more source

Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition

Discrete Dynamics in Nature and Society, 2012
The numerical and analytic solutions of the mixed problem for multidimensional fractional hyperbolic partial differential equations with the Neumann condition are presented. The stable difference scheme for the numerical solution of the mixed problem for
Allaberen Ashyralyev, Fadime Dal
doaj   +1 more source

Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method

Ain Shams Engineering Journal, 2021
In this article, we execute the enhanced (G'/G)-expansion method to search for new and further general closed-form wave solutions to the nonlinear partial differential equation, namely the Benny Luke equation.
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar
doaj   +1 more source

The G′G-expansion method using modified Riemann–Liouville derivative for some space-time fractional differential equations

Ain Shams Engineering Journal, 2014
In this paper, the fractional partial differential equations are defined by modified Riemann–Liouville fractional derivative. With the help of fractional derivative and traveling wave transformation, these equations can be converted into the nonlinear ...
Ahmet Bekir, Özkan Güner
doaj   +1 more source

Numerical and computational investigation of soliton propagation in physical systems via computational schemes: (1+1)-dimensional MNW integrable equation

Results in Physics, 2023
This study utilizes computational and numerical techniques to investigate the (1+1)-dimensional Mikhailov–Novikov–Wang (MNW) integrable equation, a nonlinear partial differential equation that governs the propagation of solitons in various physical ...
Tianyong Han, Mostafa M.A. Khater
doaj   +1 more source