Results 51 to 60 of about 12,886,698 (195)

The generalized Kudryashov method for the nonlinear fractional partial differential equations with the beta-derivative

open access: yes, 2023
In this article, we consider the exact solutions of the Hunter-Saxton and Schrödinger equations defined by Atangana’s conformable derivative using the general Kudryashov method. Firstly, Atangana’s conformable fractional derivative and its properties are
Gurefe, Yusuf
core   +1 more source

Exact Solutions of the Stochastic Conformable Broer–Kaup Equations

open access: yesAxioms, 2023
In this article, the exact solutions of the stochastic conformable Broer–Kaup equations with conformable derivatives which describe the bidirectional propagation of long waves in shallow water are obtained using the modified exponential function method ...
Humaira Yasmin   +3 more
doaj   +1 more source

Postural control in humans: a study using transcutaneous spinal cord stimulation

open access: yesExperimental Physiology, Volume 111, Issue 4, Page 2163-2175, 1 April 2026.
Abstract The aim of the study was to investigate the spinal mechanisms involved in regulating postural balance in humans. Participants stood in a normal stance, with their spinal postural networks either non‐invasively activated or not stimulated by electrical stimulation.
Natalia Shamantseva   +5 more
wiley   +1 more source

TRAVELING WAVE SOLUTIONS OF SOME FRACTIONAL DIFFERENTIAL EQUATIONS [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2016
The modified Kudryashov method is powerful, efficient and can be used as an alternative to establish new solutions of different type of fractional differential equations applied in mathematical physics.
SERIFE MUGE EGE, EMINE MISIRLI
doaj  

Diverse novel analytical and semi-analytical wave solutions of the generalized (2+1)-dimensional shallow water waves model

open access: yesAIP Advances, 2021
This article studies the generalized (2 + 1)-dimensional shallow water equation by applying two recent analytical schemes (the extended simplest equation method and the modified Kudryashov method) for constructing abundant novel solitary wave solutions ...
Yuming Chu   +2 more
doaj   +1 more source

Kudryashov Expansion Method Applied to Fisher Mathematical Model

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
We obtain new computational soliton solutions characterized by topological, rational, exponential, trigonometric, and hyperbolic functions for the Fisher equation. Using a good strategy, the Kudryashov expansion method is used to find different dynamical wave structures of soliton solutions within the scope of evolutionary dynamical structures of ...
Elif Deniz Öztürk   +3 more
wiley   +1 more source

Application of Kudryashov method for the Ito equations [PDF]

open access: yes, 2017
In this present work, the Kudryashov method is used to construct exact solutions of the (1+1)- dimensional and the (1+2)-dimensional form of the generalized Ito integro-differential equation. The Kudryashov method is a powerful method for obtaining exact
Akbari, Mozhgan
core   +1 more source

Investigation of optical soliton solutions for the perturbed Gerdjikov-Ivanov equation with full-nonlinearity

open access: yesHeliyon, 2023
We have discussed the perturbed Gerdjikov-Ivanov (pGI) equation describing optical pulse propagation (PP) with perturbation effects, which has various applications in optical fibers, especially in photonic crystal fibers.
Ismail Onder   +3 more
doaj   +1 more source

Optical Soliton Solutions and Modulation Instability of the Higher‐Order Complex Cubic‐Quintic Ginzburg–Landau Equation

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
The propagation of ultrashort optical pulses in nonlinear dissipative media is investigated through a generalized higher‐order cubic–quintic complex Ginzburg–Landau equation (HG CQ‐CGLE) incorporating third‐order dispersion (TOD), fourth‐order dispersion (FOD), self‐steepening (SS), and intrapulse Raman scattering (IRS) effects.
Alfred Dang A Mekoung   +3 more
wiley   +1 more source

Kink, periodic and solitary solutions for coupled Benjamin–Bona–Mahony–KdV system

open access: yesJournal of Taibah University for Science, 2023
In this paper, exp[Formula: see text]-expansion method, modified extended tanh-function method and Kudryashov method are used to investigate the exact solutions of the coupled Benjamin–Bona–Mahony–KdV (BBM-KdV) system.
Yanzhi Ma, Zenggui Wang
doaj   +1 more source

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