Results 11 to 20 of about 1,413 (195)

Generalized Kudryashov Method for Time-Fractional Differential Equations [PDF]

Abstract and Applied Analysis, 2014
In this study, the generalized Kudryashov method (GKM) is handled to find exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation.
Seyma Tuluce Demiray, Yusuf Pandir, Hasan Bulut   +2 more
doaj   +3 more sources

Application of the generalized Kudryashov method to the Eckhaus equation

Nonlinear Analysis, 2016
In this paper, the generalized Kudryashov method is presented to seek exact solutions of the Eckhaus equation. From these solutions, we can derive solitary wave solutions as a special case.
Ahmed H. Arnous, Mohammad Mirzazadeh
doaj   +4 more sources

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   +2 more sources

New extended generalized Kudryashov method for solving three nonlinear partial differential equations

Nonlinear Analysis, 2020
New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger ...
Elsayed M.E. Zayed, Reham M.A. Shohib, Mohamed E.M. Alngar   +2 more
doaj   +4 more sources

Exact traveling wave solutions for nonlinear PDEs in mathematical physics using the generalized Kudryashov method [PDF]

Serbian Journal of Electrical Engineering, 2016
The generalized Kudryashov method is applied in this article for finding the exact solutions of nonlinear partial differential equations (PDEs) in mathematical physics. Solitons and other solutions are given.
Zayed El-Sayed Mohamed El-Sayed, Al-Nowehy Abdul-Ghani   +1 more
doaj   +2 more sources

Exact Optical Solitons for Generalized Kudryashov’s Equation by Lie Symmetry Method

Journal of Mathematics, 2023
In this article, we use Lie point symmetry analysis to extract some new optical soliton solutions for the generalized Kudryashov’s equation (GKE) with an arbitrary power nonlinearity. Using a traveling wave transformation, the GKE is transformed into a nonlinear second order ordinary differential equation (ODE).
Rajagopalan Ramaswamy, E. S. El-Shazly, M. S. Abdel Latif, Amr Elsonbaty, A. H. Abdel Kader   +4 more
openaire   +2 more sources

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

Facta 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

The analysis of the soliton-type solutions of conformable equations by using generalized Kudryashov method [PDF]

Optical and Quantum Electronics, 2021
Abstract This research article is dedicated to applying the generalized Kudryashov method in order to acquire new exact and soliton-type solutions of the conformable Burgers' equation and Wu-Zhang system with conformable derivative.
Melike Kaplan, Arzu Akbulut
openaire   +2 more sources

Seven common errors in finding exact solutions of nonlinear differential equations [PDF]

, 2009
We analyze the common errors of the recent papers in which the solitary wave solutions of nonlinear differential equations are presented. Seven common errors are formulated and classified.
Abdou, Abdou, Abdou, Ablowitz, Ablowitz, Bekir, Bekir, Bekir, Bekir, Chen, Chun, Chun, Clarkson, Cole, Conte, Conte, Dai, Ebaid, Efimova, El-Wakil, El-Wakil, Erbas, Ganji, Gardner, He, He, Hirota, Hopf, Khani, Korteweg, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kuramoto, Lan, Lax, Li, Lou, Malfliet, Nikolai A. Kudryashov, Noor, Parkes, Peng, Polyanin, Soliman, Ugurlu, Wang, Wazwaz, Wazwaz, Wazwaz, Wazwaz, Wazzan, Weiss, Weiss, Wu, Xie, Yusufogˇlu, Zabusky, Zhang, Zhang, Zhang, Zhang, Öziş, Öziş   +75 more
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Meromorphic solutions of nonlinear ordinary differential equations [PDF]

, 2010
Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for
Aslan, Assas, Bateman, Benney, Berloff, Billingham, Burgers, Cohen, Cole, Dai, Drazin, Eremenko, Fu, Hopf, Inan, Kangalgil, Korteweg, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kuramoto, Köroglu, Li, Li, Nikolai A. Kudryashov, Parkes, Parkes, Salas, Sarma, Shang, Shkadov, Sivashinsky, Topper, Wang, Wazzan, Wen, Whitham, Yu, Zhang, Zhang, Zheng, Zhu   +52 more
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