Results 31 to 40 of about 3,928 (199)

A study on the compatibility of the generalized Kudryashov method to determine wave solutions

Propulsion and Power Research, 2021
In this article, we establish solitary wave solutions to the Estevez-Mansfield-Clarkson (EMC) equation and the coupled sine-Gordon equations which are model equations to analyze the formation of shapes in liquid drops, surfaces of negative constant ...
Hemonta Kumar Barman, Md. Ekramul Islam, M. Ali Akbar   +2 more
doaj   +1 more source

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

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

Comment on “Application of (G′/G)-expansion method to travelling-wave solutions of three nonlinear evolution equation" [Comput Fluids 2010;39;1957-63] [PDF]

, 2011
In a recent paper [Abazari R. Application of (G′ G )-expansion method to travelling wave solutions of three nonlinear evolution equation. Computers & Fluids 2010;39:1957–1963], the (G′/G)-expansion method was used to find travelling-wave solutions to ...
Abazari, Aslan, E.J. Parkes, Fan, Kangalgil, Kudryashov, Kudryashov, Köroğlu, Liu, Parkes, Parkes, Parkes, Parkes, Parkes, Wang   +14 more
core   +1 more source

A note on "new travelling wave solutions to the Ostrovsky equation" [PDF]

, 2010
In a recent paper by Yaşar [E. Yaşar, New travelling wave solutions to the Ostrovsky equation, Appl. Math. Comput. 216 (2010), 3191-3194], 'new' travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
core   +1 more source

An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
The main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
doaj   +1 more source

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

The generalized Kudryashov method for new closed form traveling wave solutions to some NLEEs

AIMS Mathematics, 2019
In this work, we construct closed form traveling wave solutions to some nonlinear evolution equations (NLEEs) associated with mathematical physics. This work implements the well-established generalized Kudryashov method (gKM) to compute new closed form ...
M. A. Habib, H. M. Shahadat Ali, M. Mamun Miah, M. Ali Akbar   +3 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

Extended equation for description of nonlinear waves in liquid with gas bubbles

, 2013
Nonlinear waves in a liquid with gas bubbles are studied. Higher order terms with respect to the small parameter are taken into account in the derivation of the equation for nonlinear waves.
Kudryashov, Nikolai A., Sinelshchikov, Dmitry I.   +1 more
core   +1 more source

Traveling Wave Solutions For Two Physical Models via Extended Modified Kudryashov Method

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
In this paper, we propose the extended modified Kudryashov method (EMKM) for solving the Biswas-Milovic equation and Gerdjikov-Ivanov equation which are commonly special cases of Schrödinger equation in mathematical physics. We received many new extended traveling wave solutions when the special values of the parameters are taken for these equations ...
Şerife Müge EGE, Şerife Müge EGE
openaire   +3 more sources