Browsing by Author "Abdullah, Farah Aini"
Now showing items 117 of 17

Abundant traveling wave solutions of the compound KdVBurgers equation via the improved (G′/G)expansion method
Naher, Hasibun; Abdullah, Farah Aini; Bekir, Ahmet (© 2012 AIP Advances, 2012)In this article, we investigate the compound KdVBurgers equation involving parameters by applying the improved (G′/G)expansion method for constructing some new exact traveling wave solutions including solitons and periodic ... 
The expfunction method for new exact solutions of the nonlinear partial differential equations
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali (© 2011 International Journal of Physical Sciences, 2011)In this article, the expfunction method is used to construct some new exact solitary wave solutions of the sixthorder Boussinesq equation and the regularized long wave equations. These equations play very important role ... 
The extended generalized Riccati equation mapping method for the (1+1)dimensional modified KdV equation
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali; Yildirim, Ahmet (© 2013 IDOSI Publications, 2013)In this article, the generalized Riccati equation mapping is extended by the (G/G)expansion method. 2 In this method, the auxiliary equation G' = r + pG + qG2 is used and called the generalized Riccati equation, where ... 
Extended generalized Riccati equation mapping method for the fifthorder SawadaKotera equation
Naher, Hasibun; Abdullah, Farah Aini; MohyudDin, Syed Tauseef (© 2013 AIP Advances, 2013)In this article, the generalized Riccati equation mapping together with the basic (G′/G)expansion method is implemented which is advance mathematical tool to investigate nonlinear partial differential equations. Moreover, ... 
Further extension of the generalized and improved (G′/G)expansion method for nonlinear evolution equation
Naher, Hasibun; Abdullah, Farah Aini (© 2016 Elsevier B.V, 2016)n this article, the generalized and improved (G'/G)expansion method has been proposed for further extension to generate many new travelling wave solutions. In addition, nonlinear ordinary differential equation is implemented ... 
The (G'/G)expansion method for abundant traveling wave solutions of CaudreyDoddGibbon equation
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali (© 2011 Mathematical Problems in Engineering, 2011)We construct the traveling wave solutions of the fifthorder CaudreyDoddGibbon (CDG) equation by the (G'/G) expansion method. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this ... 
Generalized and Improved (G′/G)Expansion Method for (3+1)Dimensional Modified KdVZakharovKuznetsev Equation
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali (© 2013 PLoS ONE, 2013)The generalized and improved G′/Gexpansion method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. In this article, we ... 
The generalized riccati equation together with the (G' / G) Expansion method for the (3+1)dimensional modified KDVzakharovkuznetsov equation
Naher, Hasibun; Abdullah, Farah Aini; Rashid, Abdur (© 2014 Politechnica University of Bucharest, 2014)We construct new exact travelling wave solutions including solitons and periodic solutions of the (3+1)dimensional modified KdV ZakharovKuznetsov equation involving parameter by applying the generalized Riccati equation ... 
The improved (G'/G) expansion method for the (2+1)dimensional modified ZakharovKuznetsov equation
Naher, Hasibun; Abdullah, Farah Aini (© 2012 Journal of Applied Mathematics, 2012)we apply the improved (G'/G) expansion method for constructing abundant new exact traveling wave solutions of the (2+1)dimensional Modified ZakharovKuznetsov equation. In addition, G'' + λ G' + μG = 0 together with b ... 
The modified benjaminbonamahony equation via the extended generalized riccati equation mapping method
Naher, Hasibun; Abdullah, Farah Aini (© 2012 Applied Mathematical Science, 2012)The generalized Riccati equation mapping is extended together with the (G'/G) expansion method and is a powerful mathematical tool for solving nonlinear partial differential equations. In this article, we construct twenty ... 
New approach of (G'/G)expansion method for RLW equation
Naher, Hasibun; Abdullah, Farah Aini (© 2014 Maxwell Science Publications, 2014)In this study, new extension of the (G'/G)expansion method with nonlinear ODE has been introduced to investigate the generalized regularized long wave equation. Therefore, many new travelling wave solutions with many ... 
New approach of (G′G)expansion method and new approach of generalized (G′G)expansion method for nonlinear evolution equation
Naher, Hasibun (© 2013 AIP Advances, 2013)In this article, new (G′G)expansion method and new generalized (G′G)expansion method is proposed to generate more general and abundant new exact traveling wave solutions of nonlinear evolution equations. The novelty and ... 
New traveling wave solutions by the extended generalized Riccati equation mapping method of the (2 + 1) dimensional evolution equation
Naher, Hasibun; Abdullah, Farah Aini (© 2012 Journal of Applied Mathematics, 2012)The generalized Riccati equation mapping is extended with the basic (G ′ / G) expansion method which is powerful and straightforward mathematical tool for solving nonlinear partial differential equations. In this paper, ... 
New traveling wave solutions of the higher dimensional nonlinear evolution equation by the improved (G′/G) expansion method
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali (© 2012 World Applied Sciences Journal, 2012)In this article, we investigate the nonlinear evolution equation, namely, the (3+l)dimensional modified KdVZakharovKuznetsev equation by applying the improved (G′/G)expansion method to construct some new traveling wave ... 
New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the expfunction method
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali (© 2012 Journal of Applied Mathematics, 2012)We construct new analytical solutions of the (3+1)dimensional modified KdVZakharovKuznetsev equation by the Expfunction method. Plentiful exact traveling wave solutions with arbitrary parameters are effectively obtained ... 
Some new solutions of the (1+1)dimensional PDE via the improved (G ′/ G)expansion method
Naher, Hasibun; Abdullah, Farah Aini (© 2014 American Institute of Physics Inc., 2014)In this article, an improved (G′/G)expansion method is implemented for the simplified Modified CamassaHolm (MCH) equation involving parameters, with an aim to construct many new traveling wave solutions. In this method, ... 
Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)expansion method
Naher, Hasibun; Abdullah, Farah Aini (© 2012 Mathematical Problems in Engineering, 2012)We construct new exact traveling wave solutions involving free parameters of the nonlinear reaction diffusion equation by using the improved (G ′ /G)expansion method. The secondorder linear ordinary differential equation ...