Results 1 to 10 of about 3,841 (206)

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

Applied Sciences (Switzerland), 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.
Manuel de la Sen, Ali Akgül, Mustafa Bayram   +2 more
exaly   +7 more sources

Lump and breather interaction with different soliton solutions for the generalized doubly dispersive equation by embedded the neural networks [PDF]

Scientific Reports
In this study, we present the neural networks generalized Kudryashov (NNGK) method for the first time to explore exact solutions of the generalized doubly dispersive equation.
Muhammad Qasim, Ahmad Shafee, Fengping Yao, Muhammad Zafarullah Baber, Yakup Yildirim, Baboucar Ceesay, Nauman Ahmed   +6 more
doaj   +2 more sources

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   +2 more sources

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

Different analytical approaches for finding novel optical solitons with generalized third-order nonlinear Schrödinger equation

Results in Physics, 2021
In this paper, we looked into the generalized third-order nonlinear Schrödinger equation (NLSE). This model has a wide range of applications, including ultra-short pulses in optical fibers.
Sandeep Malik, Sachin Kumar, Kottakkaran Sooppy Nisar, C. Ahamed Saleel   +3 more
doaj   +1 more source

New Solitary Wave Patterns of the Fokas System in Fiber Optics

Mathematics, 2023
The Fokas system, which models wave dynamics using a single model of fiber optics, is the design under discussion in this study. Different types of solitary wave solutions are obtained by utilizing generalized Kudryashov (GKP) and modified Kudryashov ...
Melike Kaplan, Arzu Akbulut, Rubayyi T. Alqahtani   +2 more
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

Solutions to the Konopelchenko-Dubrovsky equation and the Landau-Ginzburg-Higgs equation via the generalized Kudryashov technique

Results in Physics, 2021
The (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-Ginzburg-Higgs (LGH) equation describe the nonlinear waves with weak scattering and long-range interactions between the tropical, mid-latitude troposphere, the interaction of ...
Hemonta Kumar Barman, M. Ali Akbar, M.S. Osman, Kottakkaran Sooppy Nisar, M. Zakarya, Abdel-Haleem Abdel-Aty, Hichem Eleuch   +6 more
doaj   +1 more source

Pharmacology complex compound of pro-gly-pro-leu with heparin: hypoglycemic, fibrinolitic and anticoagulant effects in rats with hyperglycemia

Фармация и фармакология (Пятигорск), 2019
Previously it was shown that the use of regulatory peptides of the glyprolin family helps to normalize the hemostasis system and blood glucose levels in experimental resistant hyperglycemia in rats, similar to type 2 diabetes mellitus in humans.
T. Yu. Obergan, N. F. Myasoedov, M. E. Grigorjeva, L. A. Lyapina, T. A. Shubina, L. A. Andreeva   +5 more
doaj   +1 more source

Exact solutions of the generalized nonlinear Fokas-Lennells equation

Results in Physics, 2019
Two different schemes are applied to the generalized nonlinear Fokas-Lennells equation for obtaining possible optical solitonic solutions at general orders of nonlinearities. It is known that the standard Kudryashov method leads to singular combo optical
A. Ebaid, E.R. El-Zahar, A.F. Aljohani, Bashir Salah, Mohammed Krid, J.T. Machado   +5 more
doaj   +1 more source