Browsing by Author "Akbar, M. Ali"
Now showing items 1-6 of 6
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The exp-function method for new exact solutions of the nonlinear partial differential equations
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali (© 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 extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali; Yildirim, Ahmet (© 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 (G'/G)-expansion method for abundant traveling wave solutions of Caudrey-Dodd-Gibbon equation
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali (© 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 ... -
Generalized and Improved (G′/G)-Expansion Method for (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsev Equation
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali (© 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 ... -
New traveling wave solutions of the higher dimensional nonlinear evolution equation by the improved (G′/G) expansion method
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali (© 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 ... -
New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the exp-function method
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali (© 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 ...