New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics
In this article, new extension of the generalized and improved (G′/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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2014-10-01
|
| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13001405 |
| _version_ | 1818601889976025088 |
|---|---|
| author | Hasibun Naher Farah Aini Abdullah |
| author_facet | Hasibun Naher Farah Aini Abdullah |
| author_sort | Hasibun Naher |
| collection | DOAJ |
| description | In this article, new extension of the generalized and improved (G′/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. |
| first_indexed | 2024-12-16T12:58:34Z |
| format | Article |
| id | doaj.art-208fbfc6d30144edafaf91930dc47220 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-16T12:58:34Z |
| publishDate | 2014-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-208fbfc6d30144edafaf91930dc472202022-12-21T22:30:55ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2014-10-0122339039510.1016/j.joems.2013.11.008New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physicsHasibun Naher0Farah Aini Abdullah1Department of Mathematics and Natural Sciences, BRAC University, 66 Mohakhali, Dhaka 1212, BangladeshSchool of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, MalaysiaIn this article, new extension of the generalized and improved (G′/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.http://www.sciencedirect.com/science/article/pii/S1110256X13001405New generalized and improved (G′/G)-expansion methodNonlinear ordinary differential equationKdV equationTraveling wave solutions |
| spellingShingle | 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 New generalized and improved (G′/G)-expansion method Nonlinear ordinary differential equation KdV equation Traveling wave solutions |
| title | New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics |
| title_full | New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics |
| title_fullStr | New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics |
| title_full_unstemmed | New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics |
| title_short | New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics |
| title_sort | new generalized and improved g g expansion method for nonlinear evolution equations in mathematical physics |
| topic | New generalized and improved (G′/G)-expansion method Nonlinear ordinary differential equation KdV equation Traveling wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X13001405 |
| work_keys_str_mv | AT hasibunnaher newgeneralizedandimprovedggexpansionmethodfornonlinearevolutionequationsinmathematicalphysics AT farahainiabdullah newgeneralizedandimprovedggexpansionmethodfornonlinearevolutionequationsinmathematicalphysics |