Results 21 to 30 of about 1,282 (135)

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
core   +2 more sources

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
core   +1 more source

Application of the Exp-Function and Generalized Kudryashov Methods for Obtaining New Exact Solutions of Certain Nonlinear Conformable Time Partial Integro-Differential Equations [PDF]

Computation, 2021
The key objective of this paper is to construct exact traveling wave solutions of the conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy equation using the Exp-function method and the (2 + 1)-dimensional conformable time partial integro-differential Jaulent–Miodek (JM) evolution equation utilizing the generalized ...
Supaporn Kaewta, Sekson Sirisubtawee, Surattana Sungnul   +2 more
openaire   +2 more sources

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

Entropy, 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

Analysis of a conformable generalized geophysical KdV equation with Coriolis effect

Alexandria 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, Nahid Fatima, Shaimaa A. M. Abdelmohsen, Meznah M. Alanazi, Shabir Ahmad, Dumitru Baleanu   +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

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

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, Mehmet Şenol, Hadi Rezazadeh, Hijaz Ahmad, Hao Wang   +4 more
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, Maasoomah Sadaf, Saima Arshed, Usama Ejaz   +3 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

Complexity, 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

Generalized Kudryashov Method for Time-Fractional Differential Equations

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   +1 more source