Traveling wave solutions for the mKdV equation and the Gardner equations by new approach of the generalized (G′/G)-expansion method
Nur Alam, M., Akbar, M. (2014). Traveling wave solutions for the mKdV equation and the Gardner equations by new approach of the generalized (G′/G)-expansion method. EKB Journal Management System, 22(3), 402-406.
Md. Nur Alam; M. Ali Akbar. "Traveling wave solutions for the mKdV equation and the Gardner equations by new approach of the generalized (G′/G)-expansion method". EKB Journal Management System, 22, 3, 2014, 402-406.
Nur Alam, M., Akbar, M. (2014). 'Traveling wave solutions for the mKdV equation and the Gardner equations by new approach of the generalized (G′/G)-expansion method', EKB Journal Management System, 22(3), pp. 402-406.
Nur Alam, M., Akbar, M. Traveling wave solutions for the mKdV equation and the Gardner equations by new approach of the generalized (G′/G)-expansion method. EKB Journal Management System, 2014; 22(3): 402-406.

Traveling wave solutions for the mKdV equation and the Gardner equations by new approach of the generalized (G′/G)-expansion method

Journal of the Egyptian Mathematical Society
Volume 22, Issue 3, October 2014, Page 402-406  XML PDF (892.48 K)
Document Type: Original Article
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Authors
Md. Nur Alam1; M. Ali Akbar2
1Department of Mathematics, Pabna University of Science and Technology, Bangladesh
2Department of Applied Mathematics, University of Rajshahi, Bangladesh
Abstract
In this paper, we demonstrate the effectiveness of the new generalized (G0/G)-expansion
method by seeking more exact solutions via the mKdV equation and the Gardner equations. The
method is direct, concise and simple to implement compared to other existing methods. The traveling wave solutions obtained by this method are expressed in terms of hyperbolic, trigonometric and rational functions. The method shows a wide application for handling nonlinear wave equations. Moreover, the method reduces the large amount of calculations
Keywords
New generalized (G0/G)- expansion method; mKdV equation; Gardner equation; Traveling wave solutions; Solitary wave solutions
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