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Toplam kayıt 13, listelenen: 1-10
The Gegenbauer Wavelets-Based Computational Methods for the Coupled System of Burgers' Equations with Time-Fractional Derivative
(MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2019)
In this study, Gegenbauer wavelets are used to present two numerical methods for solving the coupled system of Burgers' equations with a time-fractional derivative. In the presented methods, we combined the operational ...
Extraction of soliton waves from the longitudinal wave equation with local M‑truncated derivatives
(SPRINGERVAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS, 2023)
We have extracted some soliton solutions of the fractional longitudinal wave equation with
the M-truncated derivative (M-LWE), which emerges in a magneto electro-elastic circular rod. To obtain new results of this model, ...
On the investigation of optical soliton solutions of cubic-quartic Fokas-Lenells and Schrodinger-Hirota equations
(ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2023)
Purpose: When it comes to third and higher-order dispersion, the Schrödinger–Hirota equation
is one of the main models developed outside the classical NLSE management models for optical
soliton transmission. The cubic–quartic ...
Traveling wave structures of some fourth-order nonlinear partial differential equations
(ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2023)
This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method. In this method, utilizing a traveling wave ...
An algorithm for numerical solution of some nonlinear multi-dimensional parabolic partial differential equations
(ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2021)
In this research paper, a numerical method, named the three-step Ultraspherical wavelet collocation method,
is presented for solving some nonlinear multi-dimensional parabolic partial differential equations. The method
is ...
M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation
(Prof. Dr. Ramazan Yaman, 2023)
This article aims to examine M-truncated soliton solutions of the fractional
(4 + 1)-dimensional Fokas equation (FE), which is a generalization of the
Kadomtsev-Petviashvili (KP) and Davey-Stewartson (DS) equations. The ...
Perturbation of dispersive optical solitons with Schrödinger–Hirota equation with Kerr law and spatio-temporal dispersion
(ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2022)
Objective: The principal purpose of this paper is to examine the perturbed Schrödinger–Hirota
equation with the effect of spatio-temporal dispersion and Kerr law nonlinearity which governs
the propagation of dispersive ...
Two Analytical Schemes for the Optical Soliton Solution of the (2 + 1) Hirota–Maccari System Observed in Single-Mode Fibers
(MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2022)
In this scientific research article, the new Kudryashov method and the tanh-coth method,
which have not been applied before, are employed to construct analytical and soliton solutions of the
(2 + 1)-dimensional Hirota–Maccari ...
Optical solitons for Radhakrishnan–Kundu–Lakshmanan equation in the presence of perturbation term and having Kerr law
(ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2022)
Purpose: In this research study, obtaining the analytical and soliton solutions to the perturbed
Radhakrishnan–Kundu–Lakshmanan (RKL) equation with Kerr law nonlinearity is aimed via the
generalized projective Riccati ...
Wavelet-based Numerical Approaches for Solving the Korteweg-de Vries (KdV) Equation
(Matematikçiler Derneği, 2022)
In this research work, we examine the Korteweg-de Vries equation (KdV), which is utilized to
formulate the propagation of water waves and occurs in different fields such as hydrodynamics waves in cold plasma
acoustic ...