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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 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 ...
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 ...
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 ...
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 ...
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 ...
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 ...