Hasibun Naher
http://hdl.handle.net/10361/6844
2024-03-28T22:01:22Z
2024-03-28T22:01:22Z
The exp-function method for new exact solutions of the nonlinear partial differential equations
Naher, Hasibun
Abdullah, Farah Aini
Akbar, M. Ali
http://hdl.handle.net/10361/6892
2016-11-21T10:07:51Z
2011-01-01T00:00:00Z
The exp-function method for new exact solutions of the nonlinear partial differential equations
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali
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 in mathematical physics, engineering sciences and applied mathematics. The exp-function method is a powerful and straightforward mathematical tool for solving nonlinear evolution equations.
This article was published in the International Journal of Physical Sciences [© 2011 Academic Journals] and the definite version is available at : 10.5897/IJPS11.1026
2011-01-01T00:00:00Z
The (G'/G)-expansion method for abundant traveling wave solutions of Caudrey-Dodd-Gibbon equation
Naher, Hasibun
Abdullah, Farah Aini
Akbar, M. Ali
http://hdl.handle.net/10361/6889
2016-11-21T09:40:03Z
2011-01-01T00:00:00Z
The (G'/G)-expansion method for abundant traveling wave solutions of Caudrey-Dodd-Gibbon equation
Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali
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 method and the wave solutions are expressed in terms of the hyperbolic, the trigonometric, and the rational functions. It is shown that the (G ′ / G) -expansion method is a powerful and concise mathematical tool for solving nonlinear partial differential equations.
This article was published in the Mathematical Problems in Engineering [© 2011 Hasibun Naher et al.] and the definite version is available at : http://dx.doi.org/10.1155/2011/218216 The Journal's website is at: https://www.hindawi.com/journals/mpe/2011/218216/
2011-01-01T00:00:00Z
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
http://hdl.handle.net/10361/6883
2016-11-21T07:04:40Z
2012-01-01T00:00:00Z
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
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 by the method. The obtained results show that the Exp-function method is effective and straightforward mathematical tool for searching analytical solutions with arbitrary parameters of higher-dimensional nonlinear partial differential equation.
This article was published in the Journal of Applied Mathematics [© 2012 Hasibun Naher et al.] and the definite version is available at :http://dx.doi.org/10.1155/2012/575387 The Journal's website is at:https://www.hindawi.com/journals/jam/2012/575387/
2012-01-01T00:00:00Z
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
http://hdl.handle.net/10361/6881
2016-11-20T10:50:45Z
2012-01-01T00:00:00Z
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
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 solutions. The obtained solutions are expressed in terms of the hyperbolic, the trigonometric and the rational functions including solitons and periodic solutions. The attained solutions become some special functions when the arbitrary constants taken particular values. It is important to mention that some of our solutions are in good harmony with the existing results which certifies our other solutions.
This article was published in World Applied Sciences Journal [©2012 IDOSI Publications.]
2012-01-01T00:00:00Z