Results 31 to 40 of about 454 (184)
Results in Physics, 2023 Nonlinear partial differential equations serve as key components for the mathematical representation of engineering phenomena across several domains within the known universe.
Elsayed M.E. Zayed +6 more
doaj +1 more source
Novel Solutions of Perturbed Boussinesq Equation
Journal of Mathematical Sciences and Modelling, 2022 In this article, we have worked on the perturbed Boussinesq equation. We have applied the generalized Kudryashov method (GKM) and sine-Gordon expansion method (SGEM) to the perturbed Boussinesq equation. So, we have obtained some new soliton solutions of
Şeyma Tülüce Demiray, Uğur Bayrakcı
doaj +1 more source
Exact Solutions of the Two Dimensional KdV-Burger Equation by Generalized Kudryashov Method
Iğdır 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
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 +5 more
doaj +1 more source
Results 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
Journal of Ocean Engineering and Science, 2021 In this investigation, the (2+1)-dimensions of dispersive long wave equations on shallow waters which are called Wu-Zhang (WZ) equations are studied by using symmetry analysis.
A.A. Gaber
doaj +1 more source
Journal 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
Travelling wave solutions and modulation instability analysis of the nonlinear Manakov-system
Journal 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
Some new exact solitary wave solutions of the van der Waals model arising in nature
Results in Physics, 2018 This work proposes two well-known methods, namely, Exponential rational function method (ERFM) and Generalized Kudryashov method (GKM) to seek new exact solutions of the van der Waals normal form for the fluidized granular matter, linked with natural ...
Sadaf Bibi +3 more
doaj +1 more source
Results in Physics, 2023 In this paper, the two-mode version of the generalized KdV (gTMKdV) equation is presented. The new model arises in weakly dispersive and nonlinear wave medium and describes the motion of either symmetric or asymmetric binary-waves regarding each wave’s ...
Mohammed Ali +2 more
doaj +1 more source