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Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera 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 improved (G'/G) -expansion method for the (2+1)-dimensional modified Zakharov-Kuznetsov 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 Zakharov-Kuznetsov equation. In addition, G'' + λ G' + μG = 0 together with b ...
New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the exp-function method
(© 2012 Journal of Applied Mathematics, 2012)
We construct new analytical solutions of the (3+1)-dimensional modified KdV-Zakharov-Kuznetsev equation by the Exp-function method. Plentiful exact traveling wave solutions with arbitrary parameters are effectively obtained ...
Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method
(© 2012 AIP Advances, 2012)
In this article, we investigate the compound KdV-Burgers equation involving parameters by applying the improved (G′/G)-expansion method for constructing some new exact traveling wave solutions including solitons and periodic ...
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 ...
The (G'/G)-expansion method for abundant traveling wave solutions of Caudrey-Dodd-Gibbon equation
(© 2011 Mathematical Problems in Engineering, 2011)
We construct the traveling wave solutions of the fifth-order Caudrey-Dodd-Gibbon (CDG) equation by the (G'/G) -expansion method. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this ...
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 ...
The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov 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 Zakharov-Kuznetsov equation involving parameter by applying the generalized Riccati equation ...
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 ...
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, ...