Article
Browse by
Recent Submissions
-
The exp-function method for new exact solutions of the nonlinear partial differential equations
(© 2011 International Journal of Physical Sciences, 2011)In this article, the exp-function method is used to construct some new exact solitary wave solutions of the sixth-order 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 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 ... -
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 ... -
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 KdV-Zakharov-Kuznetsev 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 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 ... -
The modified benjamin-bona-mahony 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 second-order linear ordinary differential equation ... -
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 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 KdV-Zakharov-Kuznetsev Equation
(© 2013 PLoS ONE, 2013)The generalized and improved G′/G-expansion 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 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 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 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 ... -
Some new solutions of the (3+1)-Dimensional Jimbo-Miwa 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 Camassa-Holm (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, 2014-01)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 ...
RSS 1.0