Results 41 to 50 of about 724 (174)

Soliton and Other Function Solutions of The Potential KdV Equation with Jacobi Elliptic Function Method

International Journal of Innovative Engineering Applications, 2022
The current study is concerned analytical solutions of the nonlinear potential KdV equation. Here, we implemented the Jacobi elliptic function method for soliton, hyperbolic and periodic solutions. Moreover, we illustrate our results with some graphs.
Ebru CAVLAK ASLAN, Leyla GÜRGÖZE
openaire   +2 more sources

The Politics of Pointing: Lessing's Fingerzeig and the Limits of Figural Reading

The German Quarterly, EarlyView.
Abstract Lessing's Fingerzeig—a “pointer” that guides without determining judgment—has often been treated as a stylistic habit rather than a hermeneutic principle. This essay reconstructs it as an ethics of interpretation, a gesture that orients without completing and leaves judgment to whoever follows.
Matthew Thomas Stoltz
wiley   +1 more source

The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method

Advances in Mathematical Physics, 2022
This article considers the stochastic fractional Radhakrishnan-Kundu-Lakshmanan equation (SFRKLE), which is a higher order nonlinear Schrödinger equation with cubic nonlinear terms in Kerr law. To find novel elliptic, trigonometric, rational, and stochastic fractional solutions, the Jacobi elliptic function technique is applied.
Farah M. Al‐Askar, Wael W. Mohammed
openaire   +3 more sources

The Long Shadow of Karl Weierstraß Over the Calculus of Variations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley   +1 more source

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor, Nils Margenberg, Markus Bause   +2 more
wiley   +1 more source

Symbolic computation of Jacobi elliptic function solutions to nonlinear differential-difference equations

Computers & Mathematics with Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xuelin Yong, Xin Zeng, Zhiyong Zhang, Yufu Chen   +3 more
openaire   +2 more sources

A Novel Approach to a Time-Dependent-Coefficient WBK System: Doubly Periodic Waves and Singular Nonlinear Dynamics

Complexity, 2018
Under investigation in this paper is a more general time-dependent-coefficient Whitham-Broer-Kaup (tdcWBK) system, which includes some important models as special cases, such as the approximate equations for long water waves, the WBK equations in shallow
Bo Xu, Sheng Zhang
doaj   +1 more source

Dynamical Behavior of Soliton Solutions and Bifurcation Analysis for the Time‐Fractional Akbota Equation With Beta Derivative

Engineering Reports, Volume 8, Issue 10, October 2026.
Exact soliton solutions of the time‐fractional Akbota equation with the beta derivative are obtained using three analytical methods. Bifurcation, stability, and phase‐plane analyses reveal stable and unstable equilibrium states, demonstrating controllable nonlinear wave dynamics with promising applications in optical fiber communication, nonlinear ...
S. M. Rayhanul Islam
wiley   +1 more source

Exact solutions of a coupled space-time fractional nonlinear Schrödinger type equation in quantum mechanics

Results in Physics, 2022
In this paper, we consider a coupled space-time fractional nonlinear Schrödinger type equation which can be used for describing nonrelativistic quantum mechanical behavior. Under the help of the fractional complex transform and the conformable fractional
Lanfang Shi, Xianchun Zhou
doaj   +1 more source

Polynomial Extrapolation Techniques for Accelerating Picard Iterations With Multigrid Solvers for Nonlinear Problems in Isogeometric Analysis

Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT Vector extrapolation techniques can be highly effective when used to accelerate the convergence of fixed‐point iterative methods, such as the Picard method. In this study, we investigate the numerical solution of nonlinear problems. Specifically, we address the nonlinear eigenvalue Bratu problem and the Monge–Ampère equation using a multigrid ...
Abdellatif Mouhssine, Ahmed Ratnani, Hassane Sadok   +2 more
wiley   +1 more source