Results 1 to 10 of about 481 (193)

The modified generalized Kudryashov method for nonlinear space–time fractional partial differential equations of Schrödinger type

Results in Physics, 2023
This paper presents a modified version of the generalized Kudryashov method aimed at obtaining exact solutions for fractional partial differential equations of Schrödinger type.
Fushun Liu, Yuqiang Feng
doaj   +5 more sources

Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods [PDF]

Applied Sciences, 2022
This article deals with the study of ultrasound propagation, which propagates the mechanical vibration of the molecules or of the particles of a material. It measures the speed of sound in air.
Sidra Ghazanfar, Nauman Ahmed, Muhammad Sajid Iqbal, Ali Akgül, Mustafa Bayram, Manuel De la Sen   +5 more
doaj   +7 more sources

Oblique closed form solutions of some important fractional evolution equations via the modified Kudryashov method arising in physical problems

Journal of Ocean Engineering and Science, 2018
The paper deals with the obliquely propagating wave solutions of fractional nonlinear evolution equations (NLEEs) arising in science and engineering. The conformable time fractional (2 + 1)-dimensional extended Zakharov-Kuzetsov equation (EZKE), coupled ...
F. Ferdous, M.G. Hafez
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Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method [PDF]

Scientific Reports
This study investigates solitary wave solutions of the three-dimensional, time-dependent nonlinear Schrödinger equation with cubic–quintic effects and a generalized Kudryashov-type self-phase modulation term.
Amany Tarek, Hamdy M. Ahmed, Niveen Badra, Islam Samir   +3 more
doaj   +2 more sources

The Traveling Wave Solutions of Space-Time Fractional Partial Differential Equations by Modified Kudryashov Method

Journal of Applied Mathematics and Physics, 2020
In this paper, the modified Kudryashov method is employed to find the traveling wave solutions of two well-known space-time fractional partial differential equations, namely the Zakharov Kuznetshov Benjamin Bona Mahony equation and Kolmogorov Petrovskii Piskunov equation, and as a helping tool, the sense of modified Riemann-Liouville derivative is also
Md. Mahfujur Rahman, Umme Habiba, Md. Abdus Salam, Mousumi Datta   +3 more
exaly   +2 more sources

Exploring new traveling wave solutions by solving the nonlinear space–time fractal Fornberg−Whitham equation [PDF]

Scientific Reports
Complex and nonlinear fractal equations are ubiquitous in natural phenomena. This research employs the fractal Euler−Lagrange and semi-inverse methods to derive the nonlinear space–time fractal Fornberg–Whitham equation.
A. Nazari-Golshan
doaj   +2 more sources

Optical soliton perturbation with Kudryashov’s generalized law of refractive index and generalized nonlocal laws by improved modified extended tanh method

AEJ - Alexandria Engineering Journal, 2022
In this work, the improved modified extended tanh scheme is implemented to extract exact travelling wave solutions for perturbed nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index and dual form of generalized nonlocal nonlinearity. Various types of solutions are extracted such as bright solitons, singular solitons, dark solitons,
Islam Samir, Niveen Badra, Hamdy M Ahmed   +2 more
exaly   +3 more sources

Extraction of solitons in magneto–optic waveguides for coupled NLSEs with Kudryashov's law of nonlinearity via modified extended direct algebraic method

Ain Shams Engineering Journal
In this paper, the modified extended direct algebraic technique is used for determining new and various traveling wave solutions to the coupled nonlinear Schrödinger equation (NLSE) with Kudryashov's law of nonlinearity. This model describes the propagation of optical solitons through magneto-optic wave-guides.
Ola El-Shamy, Reda El-Barkouky, Hamdy M Ahmed   +2 more
exaly   +3 more sources

Distinct exact solutions for the conformable fractional derivative Gerdjikov-Ivanov equation via three credible methods

Journal of Taibah University for Science, 2023
This paper reveals the conformable fractional space-time perturbed Gerdjikov-Ivanov (GI) equation, which is applied to nonlinear fibre optics together with photonic crystal fibres.
Qinglian Yin, Ben Gao, Zhang Shi
doaj   +1 more source

A high-order nonlinear Schrödinger equation with the weak non-local nonlinearity and its optical solitons

Results in Physics, 2021
The present paper explores a high-order nonlinear Schrödinger equation in a non-Kerr law media with the weak non-local nonlinearity describing solitons’ propagation through nonlinear optical fibers.
K. Hosseini, K. Sadri, M. Mirzazadeh, Y.M. Chu, A. Ahmadian, B.A. Pansera, S. Salahshour   +6 more
doaj   +1 more source