New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 22, Issue 3, October 2014, Pages 390-395 PDF (487.89 K) | ||
| Authors | ||
| Hasibun Naher1; Farah Aini Abdullah2 | ||
| 1Department of Mathematics and Natural Sciences, BRAC University, 66 Mohakhali, Dhaka 1212, Bangladesh | ||
| 2School 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. | ||
| Keywords | ||
| New generalized and improved (G0/G)-expansion method; Nonlinear ordinary differential equation; KdV equation; Traveling wave solutions | ||
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