Results 21 to 30 of about 296 (163)

Analysis of a conformable generalized geophysical KdV equation with Coriolis effect

open access: yesAlexandria Engineering Journal, 2023
In this manuscript, we study new solutions of generalized version of geophysical KdV equation which is called generalized perturbed KdV (gpKdV) under time–space conformable operator.
Sayed Saifullah   +5 more
doaj   +1 more source

Abundant optical soliton solutions for an integrable (2+1)-dimensional nonlinear conformable Schrödinger system

open access: yesResults in Physics, 2021
The analytical solutions of the integrable generalized (2+1)-dimensional nonlinear conformable Schrödinger (NLCS) system of equations was explored in this paper with the aid of three novel techniques which consist of (G′/G)-expansion method, generalized ...
Lanre Akinyemi   +4 more
doaj   +1 more source

New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics

open access: yesEntropy, 2015
In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method.
Haci Mehmet Baskonus, Hasan Bulut
doaj   +1 more source

Travelling wave solutions and modulation instability analysis of the nonlinear Manakov-system

open access: yesJournal of Taibah University for Science, 2023
In this paper, the accurate closed-form solutions of the Manakov-system are extracted via the extended [Formula: see text]-expansion method, the [Formula: see text]-expansion method and generalized Kudryashov method.
Ghazala Akram   +3 more
doaj   +1 more source

Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method

open access: yesIğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
In this article, the generalized Kudryashov method which provides the exact solutions is examined. It is possible to obtain new exact solutions of the nonlinear differential equations with this method. By implementing this developed method to the two-dimensional KdV-Burger equation, new exact solutions of this equation are found.
Yusuf PANDIR, Sahragül EREN
openaire   +3 more sources

Exact solutions of the generalized nonlinear Fokas-Lennells equation

open access: yesResults 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   +5 more
doaj   +1 more source

Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation

open access: yesComplexity, 2020
In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
doaj   +1 more source

New exact solutions for the time fractional coupled Boussinesq–Burger equation and approximate long water wave equation in shallow water

open access: yesJournal of Ocean Engineering and Science, 2017
The aim of the article is to construct exact solutions for the time fractional coupled Boussinesq–Burger and approximate long water wave equations by using the generalized Kudryashov method. The fractional differential equation is converted into ordinary
Mostafa M.A. Khater, Dipankar Kumar
doaj   +1 more source

Multi–solitons, lumps, and breath solutions of the water wave propagation with surface tension via four recent computational schemes

open access: yesAin Shams Engineering Journal, 2021
This research explores the complex and physical behavior, using four different theoretical methods, of water wave propagation with surface tension. A modern Benneye-Luke (BL) algorithm is used to identify a variety of unobtained distinct wave solution ...
Mostafa M.A. Khater   +3 more
doaj   +1 more source

SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD [PDF]

open access: yesFacta Universitatis, Series: Mathematics and Informatics, 2021
In this article, space-time fractional coupled integrable dispersionless system is considered, and we use fractional derivative in the sense of modified Riemann-Liouville. The fractional system has reduced to an ordinary differential system by fractional transformation and the generalized Kudryashov method is applied to obtain exact solutions.
Gaber, Ahmed A., Ahmad, Hijaz
openaire   +2 more sources

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