Solitary wave solutions for the stochastic fractional-space KdV in the sense of the M-truncated derivative

WW Mohammed, C Cesarano, FM Al-Askar… - Mathematics, 2022 - mdpi.com
The stochastic fractional-space Korteweg–de Vries equation (SFSKdVE) in the sense of the
M-truncated derivative is examined in this article. In the Itô sense, the SFSKdVE is forced by …

Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments

A Başhan - Applied Numerical Mathematics, 2021 - Elsevier
In this manuscript, a novel modification of quintic B-spline differential quadrature method is
given. By this modification, the obtained algebraic system do not have any ghost points …

Novel algorithm based on modification of Galerkin finite element method to general Rosenau-RLW equation in (2+ 1)-dimensions

N Tamang, B Wongsaijai, T Mouktonglang… - Applied Numerical …, 2020 - Elsevier
In this research, the presented method combines advantages of the finite element and three-
level finite difference techniques to obtain the solution of the two-dimensional general …

A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau–Kawahara-RLW equation

X Wang, W Dai - Computational and Applied Mathematics, 2018 - Springer
In the present work, a new implicit fourth-order energy conservative finite difference scheme
is proposed for solving the generalized Rosenau–Kawahara-RLW equation. We first design …

Efficiency of high‐order accurate difference schemes for the Korteweg‐de Vries equation

K Poochinapan, B Wongsaijai… - … Problems in Engineering, 2014 - Wiley Online Library
Two numerical models to obtain the solution of the KdV equation are proposed. Numerical
tools, compact fourth‐order and standard fourth‐order finite difference techniques, are …

Linearly-fitted energy-mass-preserving schemes for Korteweg–de Vries equations

K Liu, T Fu - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this paper, second-order and fourth-order linearly-fitted energy-mass-preserving schemes
for Korteweg–de Vries (KdV) equations are proposed. First, the KdV equation is semi …

Differential Quadrature Method to Examine the Dynamical Behavior of Soliton Solutions to the Korteweg‐de Vries Equation

S Mishra, G Arora, H Emadifar… - Advances in …, 2022 - Wiley Online Library
Nonlinear evolution equations are crucial for understanding the phenomena in science and
technology. One such equation with periodic solutions that has applications in various fields …

Soliton formation in ion temperature gradient driven magneto-plasma

J Iqbal, MY Khan - Physics of Plasmas, 2017 - pubs.aip.org
Ion-temperature-gradient (ITG) driven solitons are studied in a plasma having gradients. We
drive an admitted solitary wave solution Korteweg–de Vries-type equation for the ITG mode …

Oblique solitary waves in a five component plasma

S Sijo, M Manesh, G Sreekala, TW Neethu… - Physics of …, 2015 - pubs.aip.org
We investigate the influence of a second electron component on oblique dust ion acoustic
solitary waves in a five component plasma consisting of positively and negatively charged …

Fiber-based saturable-absorber action based on a focusing Kerr effect

L Wang, JW Haus - Optics Communications, 2016 - Elsevier
We report numerical simulations on a fiber compatible, self-focusing, saturable absorber
device. Two fiber ends are separated by a bulk, nonlinear medium. An optical beam …