1
Department of Mathematics and Natural Sciences, BRAC University, 66 Mohakhali, Dhaka 1212, Bangladesh
2
School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia
Abstract
In this article, new extension of the generalized and improved (G0/G)-expansion method is proposed for constructing more general and a rich class of new exact traveling wave solutions of nonlinear evolution equations. To demonstrate the novelty and motivation of the proposed method, we implement it to the Korteweg-de Vries (KdV) equation. The new method is oriented toward the ease of utilize and capability of computer algebraic system and provides a more systematic, convenient handling of the solution process of nonlinear equations. Further, obtained solutions disclose a wider range of applicability for handling a large variety of nonlinear partial differential equations.
Naher, H., & Abdullah, F. (2014). New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics. Journal of the Egyptian Mathematical Society, 22(3), 390-395.
MLA
Hasibun Naher; Farah Aini Abdullah. "New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics", Journal of the Egyptian Mathematical Society, 22, 3, 2014, 390-395.
HARVARD
Naher, H., Abdullah, F. (2014). 'New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics', Journal of the Egyptian Mathematical Society, 22(3), pp. 390-395.
VANCOUVER
Naher, H., Abdullah, F. New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics. Journal of the Egyptian Mathematical Society, 2014; 22(3): 390-395.