Browsing by Subject "Traveling wave solutions"
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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 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 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, ... -
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 ...