Article
Browse by
Recent Submissions

The expfunction method for new exact solutions of the nonlinear partial differential equations
(© 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 (G'/G)expansion method for abundant traveling wave solutions of CaudreyDoddGibbon equation
(© 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 ... 
New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the expfunction method
(© 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 ... 
New traveling wave solutions of the higher dimensional nonlinear evolution equation by the improved (G′/G) expansion method
(© 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 ... 
The improved (G'/G) expansion method for the (2+1)dimensional modified ZakharovKuznetsov equation
(© 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
(© 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 ... 
Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)expansion method
(© 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 ... 
Abundant traveling wave solutions of the compound KdVBurgers equation via the improved (G′/G)expansion method
(© 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 ... 
New traveling wave solutions by the extended generalized Riccati equation mapping method of the (2 + 1) dimensional evolution equation
(© 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 approach of (G′G)expansion method and new approach of generalized (G′G)expansion method for nonlinear evolution equation
(© 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 ... 
Generalized and Improved (G′/G)Expansion Method for (3+1)Dimensional Modified KdVZakharovKuznetsev Equation
(© 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 ... 
Extended generalized Riccati equation mapping method for the fifthorder SawadaKotera equation
(© 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, ... 
The extended generalized Riccati equation mapping method for the (1+1)dimensional modified KdV equation
(© 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 ... 
The generalized riccati equation together with the (G' / G) Expansion method for the (3+1)dimensional modified KDVzakharovkuznetsov equation
(© 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 ... 
Some new solutions of the (3+1)Dimensional JimboMiwa equation via the improved (G'/G)Expansion method
(© 2014 Eudoxus Press, LLC, 2014)The improved (G'/G)expansion method is straightforward and effective mathematical tool for establishing exact traveling wave solutions of different nonlinear partial differential equations which arise in engineering ... 
Some new solutions of the (1+1)dimensional PDE via the improved (G ′/ G)expansion method
(© 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, ... 
The improved (G'/G)expansion method to the (2+1)dimensional breaking soliton equation
(© 2014 Eudoxus Press, LLC, 201401)In this article, we generate abundant traveling wave solutions of partial differential equation, namely, the (2+1)dimensional breaking soliton equation involving parameter by applying the improved (G'/G) expansion method. ... 
New approach of (G'/G)expansion method for RLW equation
(© 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 ... 
Further extension of the generalized and improved (G′/G)expansion method for nonlinear evolution equation
(© 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 ...