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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 ...
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 ...
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, ...