Results 1 to 10 of about 132,765,175 (196)

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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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   +2 more sources

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

Comparative analytical study of the ([Formula: see text])-dimensional Heisenberg spin chain equation using the modified Kudryashov and unified Riccati methods. [PDF]

Sci Rep
In this study, we explore the (2+1)-dimensional Heisenberg ferromagnetic spin chain (HFSC) equation because of its significant role in modeling the nonlinear spin-wave propagation and magnetic excitations in ferromagnetic materials. The aim is to develop exact analytical solutions of the model through two different methods: a modified (addendum-type ...
Jawarneh Y, Mukhtar S, Islam S, Amadou Y.   +3 more
europepmc   +4 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

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

Sub-10-fs-pulse propagation between analytical and numerical investigation

Results in Physics, 2021
This paper investigates the analytical solutions of the well-known nonlinear Schrödinger (NLS) equation with the higher-order through three members of Kudryashov methods (the original Kudryashov method, modified Kudryashov method, and generalized ...
Mostafa M.A. Khater, S.K. Elagan, A.A. Mousa, M.A. El-Shorbagy, S.H. Alfalqi, J.F. Alzaidi, Dianchen Lu   +6 more
doaj   +1 more source

A new study of soliton solutions for the variable coefficients Caudrey–Dodd–Gibbon equation

Journal of Taibah University for Science, 2022
We present a paper on the different methods for finding solutions to the Caudrey–Dodd–Gibbon equation with variable coefficients, which has wide applications in quantum mechanics and nonlinear optics.
Qinglian Yin, Ben Gao
doaj   +1 more source