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